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Simplifying 5(4w + -20) = r(5w + -25) Reorder the terms: 5(-20 + 4w) = r(5w + -25) (-20 * 5 + 4w * 5) = r(5w + -25) (-100 + 20w) = r(5w + -25) Reorder the terms: -100 + 20w = r(-25 + 5w) -100 + 20w = (-25 * r + 5w * r) -100 + 20w = (-25r + 5rw) Solving -100 + 20w = -25r + 5rw Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5rw' to each side of the equation. -100 + -5rw + 20w = -25r + 5rw + -5rw Combine like terms: 5rw + -5rw = 0 -100 + -5rw + 20w = -25r + 0 -100 + -5rw + 20w = -25r Add '100' to each side of the equation. -100 + -5rw + 100 + 20w = 100 + -25r Reorder the terms: -100 + 100 + -5rw + 20w = 100 + -25r Combine like terms: -100 + 100 = 0 0 + -5rw + 20w = 100 + -25r -5rw + 20w = 100 + -25r Reorder the terms: -100 + 25r + -5rw + 20w = 100 + -25r + -100 + 25r Reorder the terms: -100 + 25r + -5rw + 20w = 100 + -100 + -25r + 25r Combine like terms: 100 + -100 = 0 -100 + 25r + -5rw + 20w = 0 + -25r + 25r -100 + 25r + -5rw + 20w = -25r + 25r Combine like terms: -25r + 25r = 0 -100 + 25r + -5rw + 20w = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-20 + 5r + -1rw + 4w) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-20 + 5r + -1rw + 4w)' equal to zero and attempt to solve: Simplifying -20 + 5r + -1rw + 4w = 0 Solving -20 + 5r + -1rw + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 5r + -1rw + 20 + 4w = 0 + 20 Reorder the terms: -20 + 20 + 5r + -1rw + 4w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5r + -1rw + 4w = 0 + 20 5r + -1rw + 4w = 0 + 20 Combine like terms: 0 + 20 = 20 5r + -1rw + 4w = 20 Add '-5r' to each side of the equation. 5r + -1rw + -5r + 4w = 20 + -5r Reorder the terms: 5r + -5r + -1rw + 4w = 20 + -5r Combine like terms: 5r + -5r = 0 0 + -1rw + 4w = 20 + -5r -1rw + 4w = 20 + -5r 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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