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Simplifying 4w + 8w = 126forw Combine like terms: 4w + 8w = 12w 12w = 126forw Solving 12w = 126forw Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-126forw' to each side of the equation. -126forw + 12w = 126forw + -126forw Combine like terms: 126forw + -126forw = 0 -126forw + 12w = 0 Factor out the Greatest Common Factor (GCF), '6w'. 6w(-21for + 2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-21for + 2)' equal to zero and attempt to solve: Simplifying -21for + 2 = 0 Reorder the terms: 2 + -21for = 0 Solving 2 + -21for = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -21for = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -21for = 0 + -2 -21for = 0 + -2 Combine like terms: 0 + -2 = -2 -21for = -2 Add '21for' to each side of the equation. -21for + 21for = -2 + 21for Combine like terms: -21for + 21for = 0 0 = -2 + 21for Simplifying 0 = -2 + 21for The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
w = {0}
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