7(h-1)=3(-h-2)

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Solution for 7(h-1)=3(-h-2) equation:


Simplifying
7(h + -1) = 3(-1h + -2)

Reorder the terms:
7(-1 + h) = 3(-1h + -2)
(-1 * 7 + h * 7) = 3(-1h + -2)
(-7 + 7h) = 3(-1h + -2)

Reorder the terms:
-7 + 7h = 3(-2 + -1h)
-7 + 7h = (-2 * 3 + -1h * 3)
-7 + 7h = (-6 + -3h)

Solving
-7 + 7h = -6 + -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.
-7 + 7h + 3h = -6 + -3h + 3h

Combine like terms: 7h + 3h = 10h
-7 + 10h = -6 + -3h + 3h

Combine like terms: -3h + 3h = 0
-7 + 10h = -6 + 0
-7 + 10h = -6

Add '7' to each side of the equation.
-7 + 7 + 10h = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 10h = -6 + 7
10h = -6 + 7

Combine like terms: -6 + 7 = 1
10h = 1

Divide each side by '10'.
h = 0.1

Simplifying
h = 0.1

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