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Simplifying 4(w + 3) = 8(w + -1) Reorder the terms: 4(3 + w) = 8(w + -1) (3 * 4 + w * 4) = 8(w + -1) (12 + 4w) = 8(w + -1) Reorder the terms: 12 + 4w = 8(-1 + w) 12 + 4w = (-1 * 8 + w * 8) 12 + 4w = (-8 + 8w) Solving 12 + 4w = -8 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 12 + 4w + -8w = -8 + 8w + -8w Combine like terms: 4w + -8w = -4w 12 + -4w = -8 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -4w = -8 + 0 12 + -4w = -8 Add '-12' to each side of the equation. 12 + -12 + -4w = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4w = -8 + -12 -4w = -8 + -12 Combine like terms: -8 + -12 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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