(-2w+14)-(1-w)=3w-1

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Solution for (-2w+14)-(1-w)=3w-1 equation:


Simplifying
(-2w + 14) + -1(1 + -1w) = 3w + -1

Reorder the terms:
(14 + -2w) + -1(1 + -1w) = 3w + -1

Remove parenthesis around (14 + -2w)
14 + -2w + -1(1 + -1w) = 3w + -1
14 + -2w + (1 * -1 + -1w * -1) = 3w + -1
14 + -2w + (-1 + 1w) = 3w + -1

Reorder the terms:
14 + -1 + -2w + 1w = 3w + -1

Combine like terms: 14 + -1 = 13
13 + -2w + 1w = 3w + -1

Combine like terms: -2w + 1w = -1w
13 + -1w = 3w + -1

Reorder the terms:
13 + -1w = -1 + 3w

Solving
13 + -1w = -1 + 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.
13 + -1w + -3w = -1 + 3w + -3w

Combine like terms: -1w + -3w = -4w
13 + -4w = -1 + 3w + -3w

Combine like terms: 3w + -3w = 0
13 + -4w = -1 + 0
13 + -4w = -1

Add '-13' to each side of the equation.
13 + -13 + -4w = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -4w = -1 + -13
-4w = -1 + -13

Combine like terms: -1 + -13 = -14
-4w = -14

Divide each side by '-4'.
w = 3.5

Simplifying
w = 3.5

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