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