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Simplifying -4(-5w + 5) + -3w = 5(w + -5) + -53 Reorder the terms: -4(5 + -5w) + -3w = 5(w + -5) + -53 (5 * -4 + -5w * -4) + -3w = 5(w + -5) + -53 (-20 + 20w) + -3w = 5(w + -5) + -53 Combine like terms: 20w + -3w = 17w -20 + 17w = 5(w + -5) + -53 Reorder the terms: -20 + 17w = 5(-5 + w) + -53 -20 + 17w = (-5 * 5 + w * 5) + -53 -20 + 17w = (-25 + 5w) + -53 Reorder the terms: -20 + 17w = -25 + -53 + 5w Combine like terms: -25 + -53 = -78 -20 + 17w = -78 + 5w Solving -20 + 17w = -78 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -20 + 17w + -5w = -78 + 5w + -5w Combine like terms: 17w + -5w = 12w -20 + 12w = -78 + 5w + -5w Combine like terms: 5w + -5w = 0 -20 + 12w = -78 + 0 -20 + 12w = -78 Add '20' to each side of the equation. -20 + 20 + 12w = -78 + 20 Combine like terms: -20 + 20 = 0 0 + 12w = -78 + 20 12w = -78 + 20 Combine like terms: -78 + 20 = -58 12w = -58 Divide each side by '12'. w = -4.833333333 Simplifying w = -4.833333333
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