2(w-7)=6w+10

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Solution for 2(w-7)=6w+10 equation:


Simplifying
2(w + -7) = 6w + 10

Reorder the terms:
2(-7 + w) = 6w + 10
(-7 * 2 + w * 2) = 6w + 10
(-14 + 2w) = 6w + 10

Reorder the terms:
-14 + 2w = 10 + 6w

Solving
-14 + 2w = 10 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-14 + 2w + -6w = 10 + 6w + -6w

Combine like terms: 2w + -6w = -4w
-14 + -4w = 10 + 6w + -6w

Combine like terms: 6w + -6w = 0
-14 + -4w = 10 + 0
-14 + -4w = 10

Add '14' to each side of the equation.
-14 + 14 + -4w = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -4w = 10 + 14
-4w = 10 + 14

Combine like terms: 10 + 14 = 24
-4w = 24

Divide each side by '-4'.
w = -6

Simplifying
w = -6

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