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Simplifying -8(w + -9) + 3 = -3w + -5 Reorder the terms: -8(-9 + w) + 3 = -3w + -5 (-9 * -8 + w * -8) + 3 = -3w + -5 (72 + -8w) + 3 = -3w + -5 Reorder the terms: 72 + 3 + -8w = -3w + -5 Combine like terms: 72 + 3 = 75 75 + -8w = -3w + -5 Reorder the terms: 75 + -8w = -5 + -3w Solving 75 + -8w = -5 + -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. 75 + -8w + 3w = -5 + -3w + 3w Combine like terms: -8w + 3w = -5w 75 + -5w = -5 + -3w + 3w Combine like terms: -3w + 3w = 0 75 + -5w = -5 + 0 75 + -5w = -5 Add '-75' to each side of the equation. 75 + -75 + -5w = -5 + -75 Combine like terms: 75 + -75 = 0 0 + -5w = -5 + -75 -5w = -5 + -75 Combine like terms: -5 + -75 = -80 -5w = -80 Divide each side by '-5'. w = 16 Simplifying w = 16
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