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Simplifying 7w + -8(1 + -1w) = 8(w + 6) 7w + (1 * -8 + -1w * -8) = 8(w + 6) 7w + (-8 + 8w) = 8(w + 6) Reorder the terms: -8 + 7w + 8w = 8(w + 6) Combine like terms: 7w + 8w = 15w -8 + 15w = 8(w + 6) Reorder the terms: -8 + 15w = 8(6 + w) -8 + 15w = (6 * 8 + w * 8) -8 + 15w = (48 + 8w) Solving -8 + 15w = 48 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -8 + 15w + -8w = 48 + 8w + -8w Combine like terms: 15w + -8w = 7w -8 + 7w = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 -8 + 7w = 48 + 0 -8 + 7w = 48 Add '8' to each side of the equation. -8 + 8 + 7w = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 7w = 48 + 8 7w = 48 + 8 Combine like terms: 48 + 8 = 56 7w = 56 Divide each side by '7'. w = 8 Simplifying w = 8
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