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