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Simplifying 8(w + 8) = 7w + -6 Reorder the terms: 8(8 + w) = 7w + -6 (8 * 8 + w * 8) = 7w + -6 (64 + 8w) = 7w + -6 Reorder the terms: 64 + 8w = -6 + 7w Solving 64 + 8w = -6 + 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. 64 + 8w + -7w = -6 + 7w + -7w Combine like terms: 8w + -7w = 1w 64 + 1w = -6 + 7w + -7w Combine like terms: 7w + -7w = 0 64 + 1w = -6 + 0 64 + 1w = -6 Add '-64' to each side of the equation. 64 + -64 + 1w = -6 + -64 Combine like terms: 64 + -64 = 0 0 + 1w = -6 + -64 1w = -6 + -64 Combine like terms: -6 + -64 = -70 1w = -70 Divide each side by '1'. w = -70 Simplifying w = -70
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