-7h+9(1h-4)=4(1h+7)

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Solution for -7h+9(1h-4)=4(1h+7) equation:


Simplifying
-7h + 9(1h + -4) = 4(1h + 7)

Reorder the terms:
-7h + 9(-4 + 1h) = 4(1h + 7)
-7h + (-4 * 9 + 1h * 9) = 4(1h + 7)
-7h + (-36 + 9h) = 4(1h + 7)

Reorder the terms:
-36 + -7h + 9h = 4(1h + 7)

Combine like terms: -7h + 9h = 2h
-36 + 2h = 4(1h + 7)

Reorder the terms:
-36 + 2h = 4(7 + 1h)
-36 + 2h = (7 * 4 + 1h * 4)
-36 + 2h = (28 + 4h)

Solving
-36 + 2h = 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.
-36 + 2h + -4h = 28 + 4h + -4h

Combine like terms: 2h + -4h = -2h
-36 + -2h = 28 + 4h + -4h

Combine like terms: 4h + -4h = 0
-36 + -2h = 28 + 0
-36 + -2h = 28

Add '36' to each side of the equation.
-36 + 36 + -2h = 28 + 36

Combine like terms: -36 + 36 = 0
0 + -2h = 28 + 36
-2h = 28 + 36

Combine like terms: 28 + 36 = 64
-2h = 64

Divide each side by '-2'.
h = -32

Simplifying
h = -32

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