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Simplifying -5(-3w + 4) + -7w = 2(w + -9) + -5 Reorder the terms: -5(4 + -3w) + -7w = 2(w + -9) + -5 (4 * -5 + -3w * -5) + -7w = 2(w + -9) + -5 (-20 + 15w) + -7w = 2(w + -9) + -5 Combine like terms: 15w + -7w = 8w -20 + 8w = 2(w + -9) + -5 Reorder the terms: -20 + 8w = 2(-9 + w) + -5 -20 + 8w = (-9 * 2 + w * 2) + -5 -20 + 8w = (-18 + 2w) + -5 Reorder the terms: -20 + 8w = -18 + -5 + 2w Combine like terms: -18 + -5 = -23 -20 + 8w = -23 + 2w Solving -20 + 8w = -23 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -20 + 8w + -2w = -23 + 2w + -2w Combine like terms: 8w + -2w = 6w -20 + 6w = -23 + 2w + -2w Combine like terms: 2w + -2w = 0 -20 + 6w = -23 + 0 -20 + 6w = -23 Add '20' to each side of the equation. -20 + 20 + 6w = -23 + 20 Combine like terms: -20 + 20 = 0 0 + 6w = -23 + 20 6w = -23 + 20 Combine like terms: -23 + 20 = -3 6w = -3 Divide each side by '6'. w = -0.5 Simplifying w = -0.5
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