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Simplifying -3(w + 9) = 5w + -37 Reorder the terms: -3(9 + w) = 5w + -37 (9 * -3 + w * -3) = 5w + -37 (-27 + -3w) = 5w + -37 Reorder the terms: -27 + -3w = -37 + 5w Solving -27 + -3w = -37 + 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. -27 + -3w + -5w = -37 + 5w + -5w Combine like terms: -3w + -5w = -8w -27 + -8w = -37 + 5w + -5w Combine like terms: 5w + -5w = 0 -27 + -8w = -37 + 0 -27 + -8w = -37 Add '27' to each side of the equation. -27 + 27 + -8w = -37 + 27 Combine like terms: -27 + 27 = 0 0 + -8w = -37 + 27 -8w = -37 + 27 Combine like terms: -37 + 27 = -10 -8w = -10 Divide each side by '-8'. w = 1.25 Simplifying w = 1.25
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