6h-24+2(4h-5)=3h-34+(-7)

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Solution for 6h-24+2(4h-5)=3h-34+(-7) equation:


Simplifying
6h + -24 + 2(4h + -5) = 3h + -34 + (-7)

Reorder the terms:
6h + -24 + 2(-5 + 4h) = 3h + -34 + (-7)
6h + -24 + (-5 * 2 + 4h * 2) = 3h + -34 + (-7)
6h + -24 + (-10 + 8h) = 3h + -34 + (-7)

Reorder the terms:
-24 + -10 + 6h + 8h = 3h + -34 + (-7)

Combine like terms: -24 + -10 = -34
-34 + 6h + 8h = 3h + -34 + (-7)

Combine like terms: 6h + 8h = 14h
-34 + 14h = 3h + -34 + (-7)
-34 + 14h = 3h + -34 + -7

Reorder the terms:
-34 + 14h = -34 + -7 + 3h

Combine like terms: -34 + -7 = -41
-34 + 14h = -41 + 3h

Solving
-34 + 14h = -41 + 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.
-34 + 14h + -3h = -41 + 3h + -3h

Combine like terms: 14h + -3h = 11h
-34 + 11h = -41 + 3h + -3h

Combine like terms: 3h + -3h = 0
-34 + 11h = -41 + 0
-34 + 11h = -41

Add '34' to each side of the equation.
-34 + 34 + 11h = -41 + 34

Combine like terms: -34 + 34 = 0
0 + 11h = -41 + 34
11h = -41 + 34

Combine like terms: -41 + 34 = -7
11h = -7

Divide each side by '11'.
h = -0.6363636364

Simplifying
h = -0.6363636364

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