2+4(3w-2)-3(2w-4w-4)+8w=45

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Solution for 2+4(3w-2)-3(2w-4w-4)+8w=45 equation:


Simplifying
2 + 4(3w + -2) + -3(2w + -4w + -4) + 8w = 45

Reorder the terms:
2 + 4(-2 + 3w) + -3(2w + -4w + -4) + 8w = 45
2 + (-2 * 4 + 3w * 4) + -3(2w + -4w + -4) + 8w = 45
2 + (-8 + 12w) + -3(2w + -4w + -4) + 8w = 45

Reorder the terms:
2 + -8 + 12w + -3(-4 + 2w + -4w) + 8w = 45

Combine like terms: 2w + -4w = -2w
2 + -8 + 12w + -3(-4 + -2w) + 8w = 45
2 + -8 + 12w + (-4 * -3 + -2w * -3) + 8w = 45
2 + -8 + 12w + (12 + 6w) + 8w = 45

Reorder the terms:
2 + -8 + 12 + 12w + 6w + 8w = 45

Combine like terms: 2 + -8 = -6
-6 + 12 + 12w + 6w + 8w = 45

Combine like terms: -6 + 12 = 6
6 + 12w + 6w + 8w = 45

Combine like terms: 12w + 6w = 18w
6 + 18w + 8w = 45

Combine like terms: 18w + 8w = 26w
6 + 26w = 45

Solving
6 + 26w = 45

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 26w = 45 + -6

Combine like terms: 6 + -6 = 0
0 + 26w = 45 + -6
26w = 45 + -6

Combine like terms: 45 + -6 = 39
26w = 39

Divide each side by '26'.
w = 1.5

Simplifying
w = 1.5

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