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Simplifying 8(w + -1) = 1 + 7w Reorder the terms: 8(-1 + w) = 1 + 7w (-1 * 8 + w * 8) = 1 + 7w (-8 + 8w) = 1 + 7w Solving -8 + 8w = 1 + 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. -8 + 8w + -7w = 1 + 7w + -7w Combine like terms: 8w + -7w = 1w -8 + 1w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 -8 + 1w = 1 + 0 -8 + 1w = 1 Add '8' to each side of the equation. -8 + 8 + 1w = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1w = 1 + 8 1w = 1 + 8 Combine like terms: 1 + 8 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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