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Simplifying -5(-4w + 2) + -2w = 3(w + -9) + -1 Reorder the terms: -5(2 + -4w) + -2w = 3(w + -9) + -1 (2 * -5 + -4w * -5) + -2w = 3(w + -9) + -1 (-10 + 20w) + -2w = 3(w + -9) + -1 Combine like terms: 20w + -2w = 18w -10 + 18w = 3(w + -9) + -1 Reorder the terms: -10 + 18w = 3(-9 + w) + -1 -10 + 18w = (-9 * 3 + w * 3) + -1 -10 + 18w = (-27 + 3w) + -1 Reorder the terms: -10 + 18w = -27 + -1 + 3w Combine like terms: -27 + -1 = -28 -10 + 18w = -28 + 3w Solving -10 + 18w = -28 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -10 + 18w + -3w = -28 + 3w + -3w Combine like terms: 18w + -3w = 15w -10 + 15w = -28 + 3w + -3w Combine like terms: 3w + -3w = 0 -10 + 15w = -28 + 0 -10 + 15w = -28 Add '10' to each side of the equation. -10 + 10 + 15w = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 15w = -28 + 10 15w = -28 + 10 Combine like terms: -28 + 10 = -18 15w = -18 Divide each side by '15'. w = -1.2 Simplifying w = -1.2
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