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Simplifying 24 + -2(2w + 1) = 4w + -2(4 + w) Reorder the terms: 24 + -2(1 + 2w) = 4w + -2(4 + w) 24 + (1 * -2 + 2w * -2) = 4w + -2(4 + w) 24 + (-2 + -4w) = 4w + -2(4 + w) Combine like terms: 24 + -2 = 22 22 + -4w = 4w + -2(4 + w) 22 + -4w = 4w + (4 * -2 + w * -2) 22 + -4w = 4w + (-8 + -2w) Reorder the terms: 22 + -4w = -8 + 4w + -2w Combine like terms: 4w + -2w = 2w 22 + -4w = -8 + 2w Solving 22 + -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. 22 + -4w + -2w = -8 + 2w + -2w Combine like terms: -4w + -2w = -6w 22 + -6w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + -6w = -8 + 0 22 + -6w = -8 Add '-22' to each side of the equation. 22 + -22 + -6w = -8 + -22 Combine like terms: 22 + -22 = 0 0 + -6w = -8 + -22 -6w = -8 + -22 Combine like terms: -8 + -22 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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