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Simplifying -9(w + 2) + -1(2 + 3w) = -13w Reorder the terms: -9(2 + w) + -1(2 + 3w) = -13w (2 * -9 + w * -9) + -1(2 + 3w) = -13w (-18 + -9w) + -1(2 + 3w) = -13w -18 + -9w + (2 * -1 + 3w * -1) = -13w -18 + -9w + (-2 + -3w) = -13w Reorder the terms: -18 + -2 + -9w + -3w = -13w Combine like terms: -18 + -2 = -20 -20 + -9w + -3w = -13w Combine like terms: -9w + -3w = -12w -20 + -12w = -13w Solving -20 + -12w = -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. -20 + -12w + 13w = -13w + 13w Combine like terms: -12w + 13w = 1w -20 + 1w = -13w + 13w Combine like terms: -13w + 13w = 0 -20 + 1w = 0 Add '20' to each side of the equation. -20 + 20 + 1w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1w = 0 + 20 1w = 0 + 20 Combine like terms: 0 + 20 = 20 1w = 20 Divide each side by '1'. w = 20 Simplifying w = 20
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