2(2w-6)=6(w-6)+14whatisW

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Solution for 2(2w-6)=6(w-6)+14whatisW equation:


Simplifying
2(2w + -6) = 6(w + -6) + 14whatisW

Reorder the terms:
2(-6 + 2w) = 6(w + -6) + 14whatisW
(-6 * 2 + 2w * 2) = 6(w + -6) + 14whatisW
(-12 + 4w) = 6(w + -6) + 14whatisW

Reorder the terms:
-12 + 4w = 6(-6 + w) + 14whatisW
-12 + 4w = (-6 * 6 + w * 6) + 14whatisW
-12 + 4w = (-36 + 6w) + 14whatisW

Reorder the terms:
-12 + 4w = -36 + 14ahistwW + 6w

Solving
-12 + 4w = -36 + 14ahistwW + 6w

Solving for variable 'w'.

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

Add '-14ahistwW' to each side of the equation.
-12 + -14ahistwW + 4w = -36 + 14ahistwW + -14ahistwW + 6w

Combine like terms: 14ahistwW + -14ahistwW = 0
-12 + -14ahistwW + 4w = -36 + 0 + 6w
-12 + -14ahistwW + 4w = -36 + 6w

Add '-6w' to each side of the equation.
-12 + -14ahistwW + 4w + -6w = -36 + 6w + -6w

Combine like terms: 4w + -6w = -2w
-12 + -14ahistwW + -2w = -36 + 6w + -6w

Combine like terms: 6w + -6w = 0
-12 + -14ahistwW + -2w = -36 + 0
-12 + -14ahistwW + -2w = -36

Add '12' to each side of the equation.
-12 + -14ahistwW + 12 + -2w = -36 + 12

Reorder the terms:
-12 + 12 + -14ahistwW + -2w = -36 + 12

Combine like terms: -12 + 12 = 0
0 + -14ahistwW + -2w = -36 + 12
-14ahistwW + -2w = -36 + 12

Combine like terms: -36 + 12 = -24
-14ahistwW + -2w = -24

Reorder the terms:
24 + -14ahistwW + -2w = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -14ahistwW + -2w = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -7ahistwW + -1w) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(12 + -7ahistwW + -1w)' equal to zero and attempt to solve: Simplifying 12 + -7ahistwW + -1w = 0 Solving 12 + -7ahistwW + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -7ahistwW + -12 + -1w = 0 + -12 Reorder the terms: 12 + -12 + -7ahistwW + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7ahistwW + -1w = 0 + -12 -7ahistwW + -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -7ahistwW + -1w = -12 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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