-3(2w-7)+6w=5+2(6w-1)

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Solution for -3(2w-7)+6w=5+2(6w-1) equation:


Simplifying
-3(2w + -7) + 6w = 5 + 2(6w + -1)

Reorder the terms:
-3(-7 + 2w) + 6w = 5 + 2(6w + -1)
(-7 * -3 + 2w * -3) + 6w = 5 + 2(6w + -1)
(21 + -6w) + 6w = 5 + 2(6w + -1)

Combine like terms: -6w + 6w = 0
21 + 0 = 5 + 2(6w + -1)
21 = 5 + 2(6w + -1)

Reorder the terms:
21 = 5 + 2(-1 + 6w)
21 = 5 + (-1 * 2 + 6w * 2)
21 = 5 + (-2 + 12w)

Combine like terms: 5 + -2 = 3
21 = 3 + 12w

Solving
21 = 3 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
21 + -12w = 3 + 12w + -12w

Combine like terms: 12w + -12w = 0
21 + -12w = 3 + 0
21 + -12w = 3

Add '-21' to each side of the equation.
21 + -21 + -12w = 3 + -21

Combine like terms: 21 + -21 = 0
0 + -12w = 3 + -21
-12w = 3 + -21

Combine like terms: 3 + -21 = -18
-12w = -18

Divide each side by '-12'.
w = 1.5

Simplifying
w = 1.5

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