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Simplifying -5w + -3 = 3(w + -9) Reorder the terms: -3 + -5w = 3(w + -9) Reorder the terms: -3 + -5w = 3(-9 + w) -3 + -5w = (-9 * 3 + w * 3) -3 + -5w = (-27 + 3w) Solving -3 + -5w = -27 + 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. -3 + -5w + -3w = -27 + 3w + -3w Combine like terms: -5w + -3w = -8w -3 + -8w = -27 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + -8w = -27 + 0 -3 + -8w = -27 Add '3' to each side of the equation. -3 + 3 + -8w = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -8w = -27 + 3 -8w = -27 + 3 Combine like terms: -27 + 3 = -24 -8w = -24 Divide each side by '-8'. w = 3 Simplifying w = 3
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