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Simplifying 2(5x + -31)(2w) = 72 Reorder the terms: 2(-31 + 5x)(2w) = 72 Remove parenthesis around (2w) 2(-31 + 5x) * 2w = 72 Reorder the terms for easier multiplication: 2 * 2w(-31 + 5x) = 72 Multiply 2 * 2 4w(-31 + 5x) = 72 (-31 * 4w + 5x * 4w) = 72 (-124w + 20wx) = 72 Solving -124w + 20wx = 72 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Reorder the terms: -72 + -124w + 20wx = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -124w + 20wx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-18 + -31w + 5wx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-18 + -31w + 5wx)' equal to zero and attempt to solve: Simplifying -18 + -31w + 5wx = 0 Solving -18 + -31w + 5wx = 0 Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -31w + 18 + 5wx = 0 + 18 Reorder the terms: -18 + 18 + -31w + 5wx = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -31w + 5wx = 0 + 18 -31w + 5wx = 0 + 18 Combine like terms: 0 + 18 = 18 -31w + 5wx = 18 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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