2(w-1)=-10(w-3)+4

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Solution for 2(w-1)=-10(w-3)+4 equation:


Simplifying
2(w + -1) = -10(w + -3) + 4

Reorder the terms:
2(-1 + w) = -10(w + -3) + 4
(-1 * 2 + w * 2) = -10(w + -3) + 4
(-2 + 2w) = -10(w + -3) + 4

Reorder the terms:
-2 + 2w = -10(-3 + w) + 4
-2 + 2w = (-3 * -10 + w * -10) + 4
-2 + 2w = (30 + -10w) + 4

Reorder the terms:
-2 + 2w = 30 + 4 + -10w

Combine like terms: 30 + 4 = 34
-2 + 2w = 34 + -10w

Solving
-2 + 2w = 34 + -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.
-2 + 2w + 10w = 34 + -10w + 10w

Combine like terms: 2w + 10w = 12w
-2 + 12w = 34 + -10w + 10w

Combine like terms: -10w + 10w = 0
-2 + 12w = 34 + 0
-2 + 12w = 34

Add '2' to each side of the equation.
-2 + 2 + 12w = 34 + 2

Combine like terms: -2 + 2 = 0
0 + 12w = 34 + 2
12w = 34 + 2

Combine like terms: 34 + 2 = 36
12w = 36

Divide each side by '12'.
w = 3

Simplifying
w = 3

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