13w-2(4h+1)=w-58

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Solution for 13w-2(4h+1)=w-58 equation:


Simplifying
13w + -2(4h + 1) = w + -58

Reorder the terms:
13w + -2(1 + 4h) = w + -58
13w + (1 * -2 + 4h * -2) = w + -58
13w + (-2 + -8h) = w + -58

Reorder the terms:
-2 + -8h + 13w = w + -58

Reorder the terms:
-2 + -8h + 13w = -58 + w

Solving
-2 + -8h + 13w = -58 + w

Solving for variable 'h'.

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

Add '2' to each side of the equation.
-2 + -8h + 2 + 13w = -58 + 2 + w

Reorder the terms:
-2 + 2 + -8h + 13w = -58 + 2 + w

Combine like terms: -2 + 2 = 0
0 + -8h + 13w = -58 + 2 + w
-8h + 13w = -58 + 2 + w

Combine like terms: -58 + 2 = -56
-8h + 13w = -56 + w

Add '-13w' to each side of the equation.
-8h + 13w + -13w = -56 + w + -13w

Combine like terms: 13w + -13w = 0
-8h + 0 = -56 + w + -13w
-8h = -56 + w + -13w

Combine like terms: w + -13w = -12w
-8h = -56 + -12w

Divide each side by '-8'.
h = 7 + 1.5w

Simplifying
h = 7 + 1.5w

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