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Simplifying 7 + 4(5w + -1) = -3(2w + -6) + 8w Reorder the terms: 7 + 4(-1 + 5w) = -3(2w + -6) + 8w 7 + (-1 * 4 + 5w * 4) = -3(2w + -6) + 8w 7 + (-4 + 20w) = -3(2w + -6) + 8w Combine like terms: 7 + -4 = 3 3 + 20w = -3(2w + -6) + 8w Reorder the terms: 3 + 20w = -3(-6 + 2w) + 8w 3 + 20w = (-6 * -3 + 2w * -3) + 8w 3 + 20w = (18 + -6w) + 8w Combine like terms: -6w + 8w = 2w 3 + 20w = 18 + 2w Solving 3 + 20w = 18 + 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. 3 + 20w + -2w = 18 + 2w + -2w Combine like terms: 20w + -2w = 18w 3 + 18w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 18w = 18 + 0 3 + 18w = 18 Add '-3' to each side of the equation. 3 + -3 + 18w = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 18w = 18 + -3 18w = 18 + -3 Combine like terms: 18 + -3 = 15 18w = 15 Divide each side by '18'. w = 0.8333333333 Simplifying w = 0.8333333333
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