7(h+3)=6(h-30)

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Solution for 7(h+3)=6(h-30) equation:


Simplifying
7(h + 3) = 6(h + -30)

Reorder the terms:
7(3 + h) = 6(h + -30)
(3 * 7 + h * 7) = 6(h + -30)
(21 + 7h) = 6(h + -30)

Reorder the terms:
21 + 7h = 6(-30 + h)
21 + 7h = (-30 * 6 + h * 6)
21 + 7h = (-180 + 6h)

Solving
21 + 7h = -180 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
21 + 7h + -6h = -180 + 6h + -6h

Combine like terms: 7h + -6h = 1h
21 + 1h = -180 + 6h + -6h

Combine like terms: 6h + -6h = 0
21 + 1h = -180 + 0
21 + 1h = -180

Add '-21' to each side of the equation.
21 + -21 + 1h = -180 + -21

Combine like terms: 21 + -21 = 0
0 + 1h = -180 + -21
1h = -180 + -21

Combine like terms: -180 + -21 = -201
1h = -201

Divide each side by '1'.
h = -201

Simplifying
h = -201

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