7-4(h-3)=6h-3(h+3)

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Solution for 7-4(h-3)=6h-3(h+3) equation: 


Simplifying
7 + -4(h + -3) = 6h + -3(h + 3)

Reorder the terms:
7 + -4(-3 + h) = 6h + -3(h + 3)
7 + (-3 * -4 + h * -4) = 6h + -3(h + 3)
7 + (12 + -4h) = 6h + -3(h + 3)

Combine like terms: 7 + 12 = 19
19 + -4h = 6h + -3(h + 3)

Reorder the terms:
19 + -4h = 6h + -3(3 + h)
19 + -4h = 6h + (3 * -3 + h * -3)
19 + -4h = 6h + (-9 + -3h)

Reorder the terms:
19 + -4h = -9 + 6h + -3h

Combine like terms: 6h + -3h = 3h
19 + -4h = -9 + 3h

Solving
19 + -4h = -9 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
19 + -4h + -3h = -9 + 3h + -3h

Combine like terms: -4h + -3h = -7h
19 + -7h = -9 + 3h + -3h

Combine like terms: 3h + -3h = 0
19 + -7h = -9 + 0
19 + -7h = -9

Add '-19' to each side of the equation.
19 + -19 + -7h = -9 + -19

Combine like terms: 19 + -19 = 0
0 + -7h = -9 + -19
-7h = -9 + -19

Combine like terms: -9 + -19 = -28
-7h = -28

Divide each side by '-7'.
h = 4

Simplifying
h = 4

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