7(h+3)=-4(h-3)

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Solution for 7(h+3)=-4(h-3) equation:


Simplifying
7(h + 3) = -4(h + -3)

Reorder the terms:
7(3 + h) = -4(h + -3)
(3 * 7 + h * 7) = -4(h + -3)
(21 + 7h) = -4(h + -3)

Reorder the terms:
21 + 7h = -4(-3 + h)
21 + 7h = (-3 * -4 + h * -4)
21 + 7h = (12 + -4h)

Solving
21 + 7h = 12 + -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.
21 + 7h + 4h = 12 + -4h + 4h

Combine like terms: 7h + 4h = 11h
21 + 11h = 12 + -4h + 4h

Combine like terms: -4h + 4h = 0
21 + 11h = 12 + 0
21 + 11h = 12

Add '-21' to each side of the equation.
21 + -21 + 11h = 12 + -21

Combine like terms: 21 + -21 = 0
0 + 11h = 12 + -21
11h = 12 + -21

Combine like terms: 12 + -21 = -9
11h = -9

Divide each side by '11'.
h = -0.8181818182

Simplifying
h = -0.8181818182

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