4(h+5)-3(3h-8)=-26

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Solution for 4(h+5)-3(3h-8)=-26 equation:


Simplifying
4(h + 5) + -3(3h + -8) = -26

Reorder the terms:
4(5 + h) + -3(3h + -8) = -26
(5 * 4 + h * 4) + -3(3h + -8) = -26
(20 + 4h) + -3(3h + -8) = -26

Reorder the terms:
20 + 4h + -3(-8 + 3h) = -26
20 + 4h + (-8 * -3 + 3h * -3) = -26
20 + 4h + (24 + -9h) = -26

Reorder the terms:
20 + 24 + 4h + -9h = -26

Combine like terms: 20 + 24 = 44
44 + 4h + -9h = -26

Combine like terms: 4h + -9h = -5h
44 + -5h = -26

Solving
44 + -5h = -26

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-44' to each side of the equation.
44 + -44 + -5h = -26 + -44

Combine like terms: 44 + -44 = 0
0 + -5h = -26 + -44
-5h = -26 + -44

Combine like terms: -26 + -44 = -70
-5h = -70

Divide each side by '-5'.
h = 14

Simplifying
h = 14

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