3=2(5w-2)-4(5w-3)-18

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Solution for 3=2(5w-2)-4(5w-3)-18 equation:


Simplifying
3 = 2(5w + -2) + -4(5w + -3) + -18

Reorder the terms:
3 = 2(-2 + 5w) + -4(5w + -3) + -18
3 = (-2 * 2 + 5w * 2) + -4(5w + -3) + -18
3 = (-4 + 10w) + -4(5w + -3) + -18

Reorder the terms:
3 = -4 + 10w + -4(-3 + 5w) + -18
3 = -4 + 10w + (-3 * -4 + 5w * -4) + -18
3 = -4 + 10w + (12 + -20w) + -18

Reorder the terms:
3 = -4 + 12 + -18 + 10w + -20w

Combine like terms: -4 + 12 = 8
3 = 8 + -18 + 10w + -20w

Combine like terms: 8 + -18 = -10
3 = -10 + 10w + -20w

Combine like terms: 10w + -20w = -10w
3 = -10 + -10w

Solving
3 = -10 + -10w

Solving for variable 'w'.

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

Add '10w' to each side of the equation.
3 + 10w = -10 + -10w + 10w

Combine like terms: -10w + 10w = 0
3 + 10w = -10 + 0
3 + 10w = -10

Add '-3' to each side of the equation.
3 + -3 + 10w = -10 + -3

Combine like terms: 3 + -3 = 0
0 + 10w = -10 + -3
10w = -10 + -3

Combine like terms: -10 + -3 = -13
10w = -13

Divide each side by '10'.
w = -1.3

Simplifying
w = -1.3

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