6(w-2)+2(w-53)=2

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Solution for 6(w-2)+2(w-53)=2 equation:


Simplifying
6(w + -2) + 2(w + -53) = 2

Reorder the terms:
6(-2 + w) + 2(w + -53) = 2
(-2 * 6 + w * 6) + 2(w + -53) = 2
(-12 + 6w) + 2(w + -53) = 2

Reorder the terms:
-12 + 6w + 2(-53 + w) = 2
-12 + 6w + (-53 * 2 + w * 2) = 2
-12 + 6w + (-106 + 2w) = 2

Reorder the terms:
-12 + -106 + 6w + 2w = 2

Combine like terms: -12 + -106 = -118
-118 + 6w + 2w = 2

Combine like terms: 6w + 2w = 8w
-118 + 8w = 2

Solving
-118 + 8w = 2

Solving for variable 'w'.

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

Add '118' to each side of the equation.
-118 + 118 + 8w = 2 + 118

Combine like terms: -118 + 118 = 0
0 + 8w = 2 + 118
8w = 2 + 118

Combine like terms: 2 + 118 = 120
8w = 120

Divide each side by '8'.
w = 15

Simplifying
w = 15

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