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Simplifying 18 + -2(2w + 1) = 4w + -2(4 + w) Reorder the terms: 18 + -2(1 + 2w) = 4w + -2(4 + w) 18 + (1 * -2 + 2w * -2) = 4w + -2(4 + w) 18 + (-2 + -4w) = 4w + -2(4 + w) Combine like terms: 18 + -2 = 16 16 + -4w = 4w + -2(4 + w) 16 + -4w = 4w + (4 * -2 + w * -2) 16 + -4w = 4w + (-8 + -2w) Reorder the terms: 16 + -4w = -8 + 4w + -2w Combine like terms: 4w + -2w = 2w 16 + -4w = -8 + 2w Solving 16 + -4w = -8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 16 + -4w + -2w = -8 + 2w + -2w Combine like terms: -4w + -2w = -6w 16 + -6w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + -6w = -8 + 0 16 + -6w = -8 Add '-16' to each side of the equation. 16 + -16 + -6w = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -6w = -8 + -16 -6w = -8 + -16 Combine like terms: -8 + -16 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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