Question

1. \\(4(2m - 3) + 8(3 - m)\\)

simplify each expression. then factor the express

1. \\(3x + 20 + 7x - 5\\)

1. \\(2x + 6 - 10x + 8\\)

1. \\(7(6x + 3) - 6\\)

1. \\(5(5 - 5x) + 12\\)

solve.

1. write an expression for the missing

then write a multiplication expressic
expand and simplify your multiplicat

Explanation:

Problem 14

Step1: Expand the expression

$4(2m - 3) + 8(3 - m) = 8m - 12 + 24 - 8m$

Step2: Combine like terms

$8m - 8m + (-12 + 24) = 12$

Problem15

Step1: Combine like terms

$3x + 7x + 20 - 5 = 10x + 15$

Step2: Factor out GCF

$10x + 15 = 5(2x + 3)$

Problem16

Step1: Combine like terms

$2x - 10x + 6 + 8 = -8x + 14$

Step2: Factor out GCF

$-8x + 14 = -2(4x - 7)$

Problem17

Step1: Expand and simplify

$7(6x + 3) - 6 = 42x + 21 - 6 = 42x + 15$

Step2: Factor out GCF

$42x + 15 = 3(14x + 5)$

Problem18

Step1: Expand and simplify

$5(5 - 5x) + 12 = 25 - 25x + 12 = 37 - 25x$ (cannot be factored further with integer coefficients)

Problem19

The problem statement is incomplete (missing key details about the "missing" quantity), so it cannot be solved. Please provide the full problem.

Answer:

1. 12
2. $10x + 15$; $5(2x + 3)$
3. $-8x + 14$; $-2(4x - 7)$
4. $42x + 15$; $3(14x + 5)$
5. $37 - 25x$