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Simplifying 9(w + -4) + -7w = 5(3w + -2) Reorder the terms: 9(-4 + w) + -7w = 5(3w + -2) (-4 * 9 + w * 9) + -7w = 5(3w + -2) (-36 + 9w) + -7w = 5(3w + -2) Combine like terms: 9w + -7w = 2w -36 + 2w = 5(3w + -2) Reorder the terms: -36 + 2w = 5(-2 + 3w) -36 + 2w = (-2 * 5 + 3w * 5) -36 + 2w = (-10 + 15w) Solving -36 + 2w = -10 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -36 + 2w + -15w = -10 + 15w + -15w Combine like terms: 2w + -15w = -13w -36 + -13w = -10 + 15w + -15w Combine like terms: 15w + -15w = 0 -36 + -13w = -10 + 0 -36 + -13w = -10 Add '36' to each side of the equation. -36 + 36 + -13w = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -13w = -10 + 36 -13w = -10 + 36 Combine like terms: -10 + 36 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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