-2=3(w-14)-5

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Solution for -2=3(w-14)-5 equation:


Simplifying
-2 = 3(w + -14) + -5

Reorder the terms:
-2 = 3(-14 + w) + -5
-2 = (-14 * 3 + w * 3) + -5
-2 = (-42 + 3w) + -5

Reorder the terms:
-2 = -42 + -5 + 3w

Combine like terms: -42 + -5 = -47
-2 = -47 + 3w

Solving
-2 = -47 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-2 + -3w = -47 + 3w + -3w

Combine like terms: 3w + -3w = 0
-2 + -3w = -47 + 0
-2 + -3w = -47

Add '2' to each side of the equation.
-2 + 2 + -3w = -47 + 2

Combine like terms: -2 + 2 = 0
0 + -3w = -47 + 2
-3w = -47 + 2

Combine like terms: -47 + 2 = -45
-3w = -45

Divide each side by '-3'.
w = 15

Simplifying
w = 15

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