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Simplifying -4(5w + 7) = -2(9w + -1) Reorder the terms: -4(7 + 5w) = -2(9w + -1) (7 * -4 + 5w * -4) = -2(9w + -1) (-28 + -20w) = -2(9w + -1) Reorder the terms: -28 + -20w = -2(-1 + 9w) -28 + -20w = (-1 * -2 + 9w * -2) -28 + -20w = (2 + -18w) Solving -28 + -20w = 2 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. -28 + -20w + 18w = 2 + -18w + 18w Combine like terms: -20w + 18w = -2w -28 + -2w = 2 + -18w + 18w Combine like terms: -18w + 18w = 0 -28 + -2w = 2 + 0 -28 + -2w = 2 Add '28' to each side of the equation. -28 + 28 + -2w = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = 2 + 28 -2w = 2 + 28 Combine like terms: 2 + 28 = 30 -2w = 30 Divide each side by '-2'. w = -15 Simplifying w = -15
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