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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 = 20 20 + -4w = 4w + -2(4 + w) 20 + -4w = 4w + (4 * -2 + w * -2) 20 + -4w = 4w + (-8 + -2w) Reorder the terms: 20 + -4w = -8 + 4w + -2w Combine like terms: 4w + -2w = 2w 20 + -4w = -8 + 2w Solving 20 + -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. 20 + -4w + -2w = -8 + 2w + -2w Combine like terms: -4w + -2w = -6w 20 + -6w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 20 + -6w = -8 + 0 20 + -6w = -8 Add '-20' to each side of the equation. 20 + -20 + -6w = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -6w = -8 + -20 -6w = -8 + -20 Combine like terms: -8 + -20 = -28 -6w = -28 Divide each side by '-6'. w = 4.666666667 Simplifying w = 4.666666667
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