2(11h+18)+13=3(-16h-7)

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Solution for 2(11h+18)+13=3(-16h-7) equation: 


Simplifying
2(11h + 18) + 13 = 3(-16h + -7)

Reorder the terms:
2(18 + 11h) + 13 = 3(-16h + -7)
(18 * 2 + 11h * 2) + 13 = 3(-16h + -7)
(36 + 22h) + 13 = 3(-16h + -7)

Reorder the terms:
36 + 13 + 22h = 3(-16h + -7)

Combine like terms: 36 + 13 = 49
49 + 22h = 3(-16h + -7)

Reorder the terms:
49 + 22h = 3(-7 + -16h)
49 + 22h = (-7 * 3 + -16h * 3)
49 + 22h = (-21 + -48h)

Solving
49 + 22h = -21 + -48h

Solving for variable 'h'.

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

Add '48h' to each side of the equation.
49 + 22h + 48h = -21 + -48h + 48h

Combine like terms: 22h + 48h = 70h
49 + 70h = -21 + -48h + 48h

Combine like terms: -48h + 48h = 0
49 + 70h = -21 + 0
49 + 70h = -21

Add '-49' to each side of the equation.
49 + -49 + 70h = -21 + -49

Combine like terms: 49 + -49 = 0
0 + 70h = -21 + -49
70h = -21 + -49

Combine like terms: -21 + -49 = -70
70h = -70

Divide each side by '70'.
h = -1

Simplifying
h = -1

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