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Simplifying -3(-8w + 3) + -9w = 7(w + -1) + -6 Reorder the terms: -3(3 + -8w) + -9w = 7(w + -1) + -6 (3 * -3 + -8w * -3) + -9w = 7(w + -1) + -6 (-9 + 24w) + -9w = 7(w + -1) + -6 Combine like terms: 24w + -9w = 15w -9 + 15w = 7(w + -1) + -6 Reorder the terms: -9 + 15w = 7(-1 + w) + -6 -9 + 15w = (-1 * 7 + w * 7) + -6 -9 + 15w = (-7 + 7w) + -6 Reorder the terms: -9 + 15w = -7 + -6 + 7w Combine like terms: -7 + -6 = -13 -9 + 15w = -13 + 7w Solving -9 + 15w = -13 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -9 + 15w + -7w = -13 + 7w + -7w Combine like terms: 15w + -7w = 8w -9 + 8w = -13 + 7w + -7w Combine like terms: 7w + -7w = 0 -9 + 8w = -13 + 0 -9 + 8w = -13 Add '9' to each side of the equation. -9 + 9 + 8w = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 8w = -13 + 9 8w = -13 + 9 Combine like terms: -13 + 9 = -4 8w = -4 Divide each side by '8'. w = -0.5 Simplifying w = -0.5
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