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Simplifying -24 = 3w + 7(w + 8) Reorder the terms: -24 = 3w + 7(8 + w) -24 = 3w + (8 * 7 + w * 7) -24 = 3w + (56 + 7w) Reorder the terms: -24 = 56 + 3w + 7w Combine like terms: 3w + 7w = 10w -24 = 56 + 10w Solving -24 = 56 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -24 + -10w = 56 + 10w + -10w Combine like terms: 10w + -10w = 0 -24 + -10w = 56 + 0 -24 + -10w = 56 Add '24' to each side of the equation. -24 + 24 + -10w = 56 + 24 Combine like terms: -24 + 24 = 0 0 + -10w = 56 + 24 -10w = 56 + 24 Combine like terms: 56 + 24 = 80 -10w = 80 Divide each side by '-10'. w = -8 Simplifying w = -8
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