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Simplifying 2(w + 1) + 4 = 3(2w + -1) + 8 Reorder the terms: 2(1 + w) + 4 = 3(2w + -1) + 8 (1 * 2 + w * 2) + 4 = 3(2w + -1) + 8 (2 + 2w) + 4 = 3(2w + -1) + 8 Reorder the terms: 2 + 4 + 2w = 3(2w + -1) + 8 Combine like terms: 2 + 4 = 6 6 + 2w = 3(2w + -1) + 8 Reorder the terms: 6 + 2w = 3(-1 + 2w) + 8 6 + 2w = (-1 * 3 + 2w * 3) + 8 6 + 2w = (-3 + 6w) + 8 Reorder the terms: 6 + 2w = -3 + 8 + 6w Combine like terms: -3 + 8 = 5 6 + 2w = 5 + 6w Solving 6 + 2w = 5 + 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. 6 + 2w + -6w = 5 + 6w + -6w Combine like terms: 2w + -6w = -4w 6 + -4w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 6 + -4w = 5 + 0 6 + -4w = 5 Add '-6' to each side of the equation. 6 + -6 + -4w = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -4w = 5 + -6 -4w = 5 + -6 Combine like terms: 5 + -6 = -1 -4w = -1 Divide each side by '-4'. w = 0.25 Simplifying w = 0.25
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