4(11h+19)+12h=4(h-7)

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Solution for 4(11h+19)+12h=4(h-7) equation:


Simplifying
4(11h + 19) + 12h = 4(h + -7)

Reorder the terms:
4(19 + 11h) + 12h = 4(h + -7)
(19 * 4 + 11h * 4) + 12h = 4(h + -7)
(76 + 44h) + 12h = 4(h + -7)

Combine like terms: 44h + 12h = 56h
76 + 56h = 4(h + -7)

Reorder the terms:
76 + 56h = 4(-7 + h)
76 + 56h = (-7 * 4 + h * 4)
76 + 56h = (-28 + 4h)

Solving
76 + 56h = -28 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
76 + 56h + -4h = -28 + 4h + -4h

Combine like terms: 56h + -4h = 52h
76 + 52h = -28 + 4h + -4h

Combine like terms: 4h + -4h = 0
76 + 52h = -28 + 0
76 + 52h = -28

Add '-76' to each side of the equation.
76 + -76 + 52h = -28 + -76

Combine like terms: 76 + -76 = 0
0 + 52h = -28 + -76
52h = -28 + -76

Combine like terms: -28 + -76 = -104
52h = -104

Divide each side by '52'.
h = -2

Simplifying
h = -2

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