4(7h+16)=-9h-2(-18h-13)

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Solution for 4(7h+16)=-9h-2(-18h-13) equation: 


Simplifying
4(7h + 16) = -9h + -2(-18h + -13)

Reorder the terms:
4(16 + 7h) = -9h + -2(-18h + -13)
(16 * 4 + 7h * 4) = -9h + -2(-18h + -13)
(64 + 28h) = -9h + -2(-18h + -13)

Reorder the terms:
64 + 28h = -9h + -2(-13 + -18h)
64 + 28h = -9h + (-13 * -2 + -18h * -2)
64 + 28h = -9h + (26 + 36h)

Reorder the terms:
64 + 28h = 26 + -9h + 36h

Combine like terms: -9h + 36h = 27h
64 + 28h = 26 + 27h

Solving
64 + 28h = 26 + 27h

Solving for variable 'h'.

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

Add '-27h' to each side of the equation.
64 + 28h + -27h = 26 + 27h + -27h

Combine like terms: 28h + -27h = 1h
64 + 1h = 26 + 27h + -27h

Combine like terms: 27h + -27h = 0
64 + 1h = 26 + 0
64 + 1h = 26

Add '-64' to each side of the equation.
64 + -64 + 1h = 26 + -64

Combine like terms: 64 + -64 = 0
0 + 1h = 26 + -64
1h = 26 + -64

Combine like terms: 26 + -64 = -38
1h = -38

Divide each side by '1'.
h = -38

Simplifying
h = -38

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