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Simplifying 3(w + -5) + -9 = -4(-5w + 4) + -5w Reorder the terms: 3(-5 + w) + -9 = -4(-5w + 4) + -5w (-5 * 3 + w * 3) + -9 = -4(-5w + 4) + -5w (-15 + 3w) + -9 = -4(-5w + 4) + -5w Reorder the terms: -15 + -9 + 3w = -4(-5w + 4) + -5w Combine like terms: -15 + -9 = -24 -24 + 3w = -4(-5w + 4) + -5w Reorder the terms: -24 + 3w = -4(4 + -5w) + -5w -24 + 3w = (4 * -4 + -5w * -4) + -5w -24 + 3w = (-16 + 20w) + -5w Combine like terms: 20w + -5w = 15w -24 + 3w = -16 + 15w Solving -24 + 3w = -16 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -24 + 3w + -15w = -16 + 15w + -15w Combine like terms: 3w + -15w = -12w -24 + -12w = -16 + 15w + -15w Combine like terms: 15w + -15w = 0 -24 + -12w = -16 + 0 -24 + -12w = -16 Add '24' to each side of the equation. -24 + 24 + -12w = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -12w = -16 + 24 -12w = -16 + 24 Combine like terms: -16 + 24 = 8 -12w = 8 Divide each side by '-12'. w = -0.6666666667 Simplifying w = -0.6666666667
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