0.75w+4=-3(0.75w+2)+8

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Solution for 0.75w+4=-3(0.75w+2)+8 equation: 


Simplifying
0.75w + 4 = -3(0.75w + 2) + 8

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

Reorder the terms:
4 + 0.75w = -3(2 + 0.75w) + 8
4 + 0.75w = (2 * -3 + 0.75w * -3) + 8
4 + 0.75w = (-6 + -2.25w) + 8

Reorder the terms:
4 + 0.75w = -6 + 8 + -2.25w

Combine like terms: -6 + 8 = 2
4 + 0.75w = 2 + -2.25w

Solving
4 + 0.75w = 2 + -2.25w

Solving for variable 'w'.

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

Add '2.25w' to each side of the equation.
4 + 0.75w + 2.25w = 2 + -2.25w + 2.25w

Combine like terms: 0.75w + 2.25w = 3w
4 + 3w = 2 + -2.25w + 2.25w

Combine like terms: -2.25w + 2.25w = 0.00
4 + 3w = 2 + 0.00
4 + 3w = 2

Add '-4' to each side of the equation.
4 + -4 + 3w = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 3w = 2 + -4
3w = 2 + -4

Combine like terms: 2 + -4 = -2
3w = -2

Divide each side by '3'.
w = -0.6666666667

Simplifying
w = -0.6666666667

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