Question

simplify the expression 7h + (-6.7d) - 15 + 4d - 2.7h.

7h + (-6.7d) - 15 + 4d - 2.7h = \square
(simplify your answer. use integers or decimals for any numbers in the expression.)

Explanation:

Step1: Combine like terms for h

We have \(7h\) and \(-2.7h\). To combine them, we subtract the coefficients: \(7 - 2.7 = 4.3\). So the combined term for \(h\) is \(4.3h\).

Step2: Combine like terms for d

We have \(-6.7d\) and \(4d\). To combine them, we add the coefficients: \(-6.7 + 4 = -2.7\). So the combined term for \(d\) is \(-2.7d\).

Step3: The constant term remains -15

The constant term in the expression is \(-15\), and there are no other constant terms to combine with it.

Step4: Write the simplified expression

Putting the combined terms together, we get \(4.3h - 2.7d - 15\).

Answer:

\(4.3h - 2.7d - 15\)