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Simplifying 24 + 11w = 4(5w + -1) + -2w Reorder the terms: 24 + 11w = 4(-1 + 5w) + -2w 24 + 11w = (-1 * 4 + 5w * 4) + -2w 24 + 11w = (-4 + 20w) + -2w Combine like terms: 20w + -2w = 18w 24 + 11w = -4 + 18w Solving 24 + 11w = -4 + 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. 24 + 11w + -18w = -4 + 18w + -18w Combine like terms: 11w + -18w = -7w 24 + -7w = -4 + 18w + -18w Combine like terms: 18w + -18w = 0 24 + -7w = -4 + 0 24 + -7w = -4 Add '-24' to each side of the equation. 24 + -24 + -7w = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -7w = -4 + -24 -7w = -4 + -24 Combine like terms: -4 + -24 = -28 -7w = -28 Divide each side by '-7'. w = 4 Simplifying w = 4
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