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Simplifying 8(2 + w) + -4w = 3w + -10 (2 * 8 + w * 8) + -4w = 3w + -10 (16 + 8w) + -4w = 3w + -10 Combine like terms: 8w + -4w = 4w 16 + 4w = 3w + -10 Reorder the terms: 16 + 4w = -10 + 3w Solving 16 + 4w = -10 + 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. 16 + 4w + -3w = -10 + 3w + -3w Combine like terms: 4w + -3w = 1w 16 + 1w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 16 + 1w = -10 + 0 16 + 1w = -10 Add '-16' to each side of the equation. 16 + -16 + 1w = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 1w = -10 + -16 1w = -10 + -16 Combine like terms: -10 + -16 = -26 1w = -26 Divide each side by '1'. w = -26 Simplifying w = -26
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