Question

simplify the expression 8h + (-6.3d) - 17 + 4d - 3.5h.
8h + (-6.3d) - 17 + 4d - 3.5h = \square
(simplify your answer. use integers or decimals for any numbers in the expression.)

Explanation:

Step1: Combine like terms for h

Identify terms with \( h \): \( 8h \) and \( -3.5h \).
Add their coefficients: \( 8 - 3.5 = 4.5 \), so \( 8h - 3.5h = 4.5h \).

Step2: Combine like terms for d

Identify terms with \( d \): \( -6.3d \) and \( 4d \).
Add their coefficients: \( -6.3 + 4 = -2.3 \), so \( -6.3d + 4d = -2.3d \).

Step3: Combine constant term

The constant term is \( -17 \), which remains as is.

Step4: Combine all simplified terms

Combine \( 4.5h \), \( -2.3d \), and \( -17 \): \( 4.5h - 2.3d - 17 \).

Answer:

\( 4.5h - 2.3d - 17 \)