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Simplifying 30x(-1w + 6) + (-5w + 4) = -1(5w + 6) + (-8 + 3w) Reorder the terms: 30x(6 + -1w) + (-5w + 4) = -1(5w + 6) + (-8 + 3w) (6 * 30x + -1w * 30x) + (-5w + 4) = -1(5w + 6) + (-8 + 3w) Reorder the terms: (-30wx + 180x) + (-5w + 4) = -1(5w + 6) + (-8 + 3w) (-30wx + 180x) + (-5w + 4) = -1(5w + 6) + (-8 + 3w) Reorder the terms: -30wx + 180x + (4 + -5w) = -1(5w + 6) + (-8 + 3w) Remove parenthesis around (4 + -5w) -30wx + 180x + 4 + -5w = -1(5w + 6) + (-8 + 3w) Reorder the terms: 4 + -5w + -30wx + 180x = -1(5w + 6) + (-8 + 3w) Reorder the terms: 4 + -5w + -30wx + 180x = -1(6 + 5w) + (-8 + 3w) 4 + -5w + -30wx + 180x = (6 * -1 + 5w * -1) + (-8 + 3w) 4 + -5w + -30wx + 180x = (-6 + -5w) + (-8 + 3w) Remove parenthesis around (-8 + 3w) 4 + -5w + -30wx + 180x = -6 + -5w + -8 + 3w Reorder the terms: 4 + -5w + -30wx + 180x = -6 + -8 + -5w + 3w Combine like terms: -6 + -8 = -14 4 + -5w + -30wx + 180x = -14 + -5w + 3w Combine like terms: -5w + 3w = -2w 4 + -5w + -30wx + 180x = -14 + -2w Solving 4 + -5w + -30wx + 180x = -14 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 4 + -5w + -30wx + 2w + 180x = -14 + -2w + 2w Reorder the terms: 4 + -5w + 2w + -30wx + 180x = -14 + -2w + 2w Combine like terms: -5w + 2w = -3w 4 + -3w + -30wx + 180x = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + -3w + -30wx + 180x = -14 + 0 4 + -3w + -30wx + 180x = -14 Add '-4' to each side of the equation. 4 + -3w + -30wx + -4 + 180x = -14 + -4 Reorder the terms: 4 + -4 + -3w + -30wx + 180x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -3w + -30wx + 180x = -14 + -4 -3w + -30wx + 180x = -14 + -4 Combine like terms: -14 + -4 = -18 -3w + -30wx + 180x = -18 Add '-180x' to each side of the equation. -3w + -30wx + 180x + -180x = -18 + -180x Combine like terms: 180x + -180x = 0 -3w + -30wx + 0 = -18 + -180x -3w + -30wx = -18 + -180x Reorder the terms: 18 + -3w + -30wx + 180x = -18 + -180x + 18 + 180x Reorder the terms: 18 + -3w + -30wx + 180x = -18 + 18 + -180x + 180x Combine like terms: -18 + 18 = 0 18 + -3w + -30wx + 180x = 0 + -180x + 180x 18 + -3w + -30wx + 180x = -180x + 180x Combine like terms: -180x + 180x = 0 18 + -3w + -30wx + 180x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -1w + -10wx + 60x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -1w + -10wx + 60x)' equal to zero and attempt to solve: Simplifying 6 + -1w + -10wx + 60x = 0 Solving 6 + -1w + -10wx + 60x = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1w + -10wx + -6 + 60x = 0 + -6 Reorder the terms: 6 + -6 + -1w + -10wx + 60x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w + -10wx + 60x = 0 + -6 -1w + -10wx + 60x = 0 + -6 Combine like terms: 0 + -6 = -6 -1w + -10wx + 60x = -6 Add '-60x' to each side of the equation. -1w + -10wx + 60x + -60x = -6 + -60x Combine like terms: 60x + -60x = 0 -1w + -10wx + 0 = -6 + -60x -1w + -10wx = -6 + -60x 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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