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an algebraic expression is shown.$(9 - 0.6d) - (d - 6.7)$select all the…

Question

an algebraic expression is shown.$(9 - 0.6d) - (d - 6.7)$select all the following expressions that are equivalent to this expression.$square 0.7dLXB0square -1.6d + 15.7LXB1square 9 - 0.6d - d + 6.7$

Explanation:

Step1: Distribute the negative sign

$$(9 - 0.6d) - (d - 6.7) = 9 - 0.6d - d + 6.7$$

Step2: Combine like terms (constants)

$$9 + 6.7 = 15.7$$

Step3: Combine like terms (d terms)

$$-0.6d - d = -1.6d$$

Step4: Form simplified expression

$$-1.6d + 15.7$$

Answer:

  • $-1.6d + 15.7$
  • $9 - 0.6d - d + 6.7$