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Simplifying 4(2w + -6) = 5(2 + w) + -22 Reorder the terms: 4(-6 + 2w) = 5(2 + w) + -22 (-6 * 4 + 2w * 4) = 5(2 + w) + -22 (-24 + 8w) = 5(2 + w) + -22 -24 + 8w = (2 * 5 + w * 5) + -22 -24 + 8w = (10 + 5w) + -22 Reorder the terms: -24 + 8w = 10 + -22 + 5w Combine like terms: 10 + -22 = -12 -24 + 8w = -12 + 5w Solving -24 + 8w = -12 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -24 + 8w + -5w = -12 + 5w + -5w Combine like terms: 8w + -5w = 3w -24 + 3w = -12 + 5w + -5w Combine like terms: 5w + -5w = 0 -24 + 3w = -12 + 0 -24 + 3w = -12 Add '24' to each side of the equation. -24 + 24 + 3w = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3w = -12 + 24 3w = -12 + 24 Combine like terms: -12 + 24 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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