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Simplifying 8(w + -8) = 3w + -14 Reorder the terms: 8(-8 + w) = 3w + -14 (-8 * 8 + w * 8) = 3w + -14 (-64 + 8w) = 3w + -14 Reorder the terms: -64 + 8w = -14 + 3w Solving -64 + 8w = -14 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -64 + 8w + -3w = -14 + 3w + -3w Combine like terms: 8w + -3w = 5w -64 + 5w = -14 + 3w + -3w Combine like terms: 3w + -3w = 0 -64 + 5w = -14 + 0 -64 + 5w = -14 Add '64' to each side of the equation. -64 + 64 + 5w = -14 + 64 Combine like terms: -64 + 64 = 0 0 + 5w = -14 + 64 5w = -14 + 64 Combine like terms: -14 + 64 = 50 5w = 50 Divide each side by '5'. w = 10 Simplifying w = 10
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