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Simplifying 8(w + -2) = 7 + 7w Reorder the terms: 8(-2 + w) = 7 + 7w (-2 * 8 + w * 8) = 7 + 7w (-16 + 8w) = 7 + 7w Solving -16 + 8w = 7 + 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. -16 + 8w + -7w = 7 + 7w + -7w Combine like terms: 8w + -7w = 1w -16 + 1w = 7 + 7w + -7w Combine like terms: 7w + -7w = 0 -16 + 1w = 7 + 0 -16 + 1w = 7 Add '16' to each side of the equation. -16 + 16 + 1w = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 1w = 7 + 16 1w = 7 + 16 Combine like terms: 7 + 16 = 23 1w = 23 Divide each side by '1'. w = 23 Simplifying w = 23
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