5. what is the solution to the equation -3(h + 5) + 2 = 4(h + 6) - 9
a. h = -2
b. h = 4
c. h = 2
d.
h = -4

d.h=−4

PLZ MARK BRAINLIEST!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(h+5)+2=4(h+6)−9

Step 1: Simplify both sides of the equation.

−3(h+5)+2=4(h+6)−9

(−3)(h)+(−3)(5)+2=(4)(h)+(4)(6)+−9(Distribute)

−3h+−15+2=4h+24+−9

(−3h)+(−15+2)=(4h)+(24+−9)(Combine Like Terms)

−3h+−13=4h+15

−3h−13=4h+15

Step 2: Subtract 4h from both sides.

−3h−13−4h=4h+15−4h

−7h−13=15

Step 3: Add 13 to both sides.

−7h−13+13=15+13

−7h=28

Step 4: Divide both sides by -7.

−7h

−7

=

28

−7

h=−4

d. h = -4

Step-by-step explanation:

-3(h + 5) + 2 = 4(h + 6) - 9

-3h - 15 + 2 = 4h + 24 - 9

-3h - 13 = 4h + 15

collect like terms

- 3h - 4h = 15 + 13

-7h = 28

therefore h = -4