8=3(1.5w-4)+8

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Solution for 8=3(1.5w-4)+8 equation:


Simplifying
8 = 3(1.5w + -4) + 8

Reorder the terms:
8 = 3(-4 + 1.5w) + 8
8 = (-4 * 3 + 1.5w * 3) + 8
8 = (-12 + 4.5w) + 8

Reorder the terms:
8 = -12 + 8 + 4.5w

Combine like terms: -12 + 8 = -4
8 = -4 + 4.5w

Solving
8 = -4 + 4.5w

Solving for variable 'w'.

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

Add '-4.5w' to each side of the equation.
8 + -4.5w = -4 + 4.5w + -4.5w

Combine like terms: 4.5w + -4.5w = 0.0
8 + -4.5w = -4 + 0.0
8 + -4.5w = -4

Add '-8' to each side of the equation.
8 + -8 + -4.5w = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -4.5w = -4 + -8
-4.5w = -4 + -8

Combine like terms: -4 + -8 = -12
-4.5w = -12

Divide each side by '-4.5'.
w = 2.666666667

Simplifying
w = 2.666666667

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