3(h-10)+2(h-22)=6

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Solution for 3(h-10)+2(h-22)=6 equation: 


Simplifying
3(h + -10) + 2(h + -22) = 6

Reorder the terms:
3(-10 + h) + 2(h + -22) = 6
(-10 * 3 + h * 3) + 2(h + -22) = 6
(-30 + 3h) + 2(h + -22) = 6

Reorder the terms:
-30 + 3h + 2(-22 + h) = 6
-30 + 3h + (-22 * 2 + h * 2) = 6
-30 + 3h + (-44 + 2h) = 6

Reorder the terms:
-30 + -44 + 3h + 2h = 6

Combine like terms: -30 + -44 = -74
-74 + 3h + 2h = 6

Combine like terms: 3h + 2h = 5h
-74 + 5h = 6

Solving
-74 + 5h = 6

Solving for variable 'h'.

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

Add '74' to each side of the equation.
-74 + 74 + 5h = 6 + 74

Combine like terms: -74 + 74 = 0
0 + 5h = 6 + 74
5h = 6 + 74

Combine like terms: 6 + 74 = 80
5h = 80

Divide each side by '5'.
h = 16

Simplifying
h = 16

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