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Simplifying -5(-4w + 1) = 3(w + -4) + -9 Reorder the terms: -5(1 + -4w) = 3(w + -4) + -9 (1 * -5 + -4w * -5) = 3(w + -4) + -9 (-5 + 20w) = 3(w + -4) + -9 Reorder the terms: -5 + 20w = 3(-4 + w) + -9 -5 + 20w = (-4 * 3 + w * 3) + -9 -5 + 20w = (-12 + 3w) + -9 Reorder the terms: -5 + 20w = -12 + -9 + 3w Combine like terms: -12 + -9 = -21 -5 + 20w = -21 + 3w Solving -5 + 20w = -21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -5 + 20w + -3w = -21 + 3w + -3w Combine like terms: 20w + -3w = 17w -5 + 17w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + 17w = -21 + 0 -5 + 17w = -21 Add '5' to each side of the equation. -5 + 5 + 17w = -21 + 5 Combine like terms: -5 + 5 = 0 0 + 17w = -21 + 5 17w = -21 + 5 Combine like terms: -21 + 5 = -16 17w = -16 Divide each side by '17'. w = -0.9411764706 Simplifying w = -0.9411764706
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