.25w+4=-3(.25w+2)+8

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Solution for .25w+4=-3(.25w+2)+8 equation:


Simplifying
0.25w + 4 = -3(0.25w + 2) + 8

Reorder the terms:
4 + 0.25w = -3(0.25w + 2) + 8

Reorder the terms:
4 + 0.25w = -3(2 + 0.25w) + 8
4 + 0.25w = (2 * -3 + 0.25w * -3) + 8
4 + 0.25w = (-6 + -0.75w) + 8

Reorder the terms:
4 + 0.25w = -6 + 8 + -0.75w

Combine like terms: -6 + 8 = 2
4 + 0.25w = 2 + -0.75w

Solving
4 + 0.25w = 2 + -0.75w

Solving for variable 'w'.

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

Add '0.75w' to each side of the equation.
4 + 0.25w + 0.75w = 2 + -0.75w + 0.75w

Combine like terms: 0.25w + 0.75w = 1w
4 + 1w = 2 + -0.75w + 0.75w

Combine like terms: -0.75w + 0.75w = 0.00
4 + 1w = 2 + 0.00
4 + 1w = 2

Add '-4' to each side of the equation.
4 + -4 + 1w = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 1w = 2 + -4
1w = 2 + -4

Combine like terms: 2 + -4 = -2
1w = -2

Divide each side by '1'.
w = -2

Simplifying
w = -2

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