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

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


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

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

Combine like terms: 13 + -2 = 11
11 + -8w = w + -58

Reorder the terms:
11 + -8w = -58 + w

Solving
11 + -8w = -58 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
11 + -8w + -1w = -58 + w + -1w

Combine like terms: -8w + -1w = -9w
11 + -9w = -58 + w + -1w

Combine like terms: w + -1w = 0
11 + -9w = -58 + 0
11 + -9w = -58

Add '-11' to each side of the equation.
11 + -11 + -9w = -58 + -11

Combine like terms: 11 + -11 = 0
0 + -9w = -58 + -11
-9w = -58 + -11

Combine like terms: -58 + -11 = -69
-9w = -69

Divide each side by '-9'.
w = 7.666666667

Simplifying
w = 7.666666667

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