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Simplifying 7(2w + 8) = w + -1 Reorder the terms: 7(8 + 2w) = w + -1 (8 * 7 + 2w * 7) = w + -1 (56 + 14w) = w + -1 Reorder the terms: 56 + 14w = -1 + w Solving 56 + 14w = -1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 56 + 14w + -1w = -1 + w + -1w Combine like terms: 14w + -1w = 13w 56 + 13w = -1 + w + -1w Combine like terms: w + -1w = 0 56 + 13w = -1 + 0 56 + 13w = -1 Add '-56' to each side of the equation. 56 + -56 + 13w = -1 + -56 Combine like terms: 56 + -56 = 0 0 + 13w = -1 + -56 13w = -1 + -56 Combine like terms: -1 + -56 = -57 13w = -57 Divide each side by '13'. w = -4.384615385 Simplifying w = -4.384615385
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