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Simplifying -5(-4w + 7) + -3w = 5(w + -5) + -7 Reorder the terms: -5(7 + -4w) + -3w = 5(w + -5) + -7 (7 * -5 + -4w * -5) + -3w = 5(w + -5) + -7 (-35 + 20w) + -3w = 5(w + -5) + -7 Combine like terms: 20w + -3w = 17w -35 + 17w = 5(w + -5) + -7 Reorder the terms: -35 + 17w = 5(-5 + w) + -7 -35 + 17w = (-5 * 5 + w * 5) + -7 -35 + 17w = (-25 + 5w) + -7 Reorder the terms: -35 + 17w = -25 + -7 + 5w Combine like terms: -25 + -7 = -32 -35 + 17w = -32 + 5w Solving -35 + 17w = -32 + 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. -35 + 17w + -5w = -32 + 5w + -5w Combine like terms: 17w + -5w = 12w -35 + 12w = -32 + 5w + -5w Combine like terms: 5w + -5w = 0 -35 + 12w = -32 + 0 -35 + 12w = -32 Add '35' to each side of the equation. -35 + 35 + 12w = -32 + 35 Combine like terms: -35 + 35 = 0 0 + 12w = -32 + 35 12w = -32 + 35 Combine like terms: -32 + 35 = 3 12w = 3 Divide each side by '12'. w = 0.25 Simplifying w = 0.25
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