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Simplifying 16 + -2(2w + 1) = 8w + -2(8 + w) Reorder the terms: 16 + -2(1 + 2w) = 8w + -2(8 + w) 16 + (1 * -2 + 2w * -2) = 8w + -2(8 + w) 16 + (-2 + -4w) = 8w + -2(8 + w) Combine like terms: 16 + -2 = 14 14 + -4w = 8w + -2(8 + w) 14 + -4w = 8w + (8 * -2 + w * -2) 14 + -4w = 8w + (-16 + -2w) Reorder the terms: 14 + -4w = -16 + 8w + -2w Combine like terms: 8w + -2w = 6w 14 + -4w = -16 + 6w Solving 14 + -4w = -16 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 14 + -4w + -6w = -16 + 6w + -6w Combine like terms: -4w + -6w = -10w 14 + -10w = -16 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + -10w = -16 + 0 14 + -10w = -16 Add '-14' to each side of the equation. 14 + -14 + -10w = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -10w = -16 + -14 -10w = -16 + -14 Combine like terms: -16 + -14 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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