3(6+h)=7(h+2)

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Solution for 3(6+h)=7(h+2) equation: 


Simplifying
3(6 + h) = 7(h + 2)
(6 * 3 + h * 3) = 7(h + 2)
(18 + 3h) = 7(h + 2)

Reorder the terms:
18 + 3h = 7(2 + h)
18 + 3h = (2 * 7 + h * 7)
18 + 3h = (14 + 7h)

Solving
18 + 3h = 14 + 7h

Solving for variable 'h'.

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

Add '-7h' to each side of the equation.
18 + 3h + -7h = 14 + 7h + -7h

Combine like terms: 3h + -7h = -4h
18 + -4h = 14 + 7h + -7h

Combine like terms: 7h + -7h = 0
18 + -4h = 14 + 0
18 + -4h = 14

Add '-18' to each side of the equation.
18 + -18 + -4h = 14 + -18

Combine like terms: 18 + -18 = 0
0 + -4h = 14 + -18
-4h = 14 + -18

Combine like terms: 14 + -18 = -4
-4h = -4

Divide each side by '-4'.
h = 1

Simplifying
h = 1

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