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Simplifying 2(w + 3w) = 4(3w + 1) Combine like terms: w + 3w = 4w 2(4w) = 4(3w + 1) Remove parenthesis around (4w) 2 * 4w = 4(3w + 1) Multiply 2 * 4 8w = 4(3w + 1) Reorder the terms: 8w = 4(1 + 3w) 8w = (1 * 4 + 3w * 4) 8w = (4 + 12w) Solving 8w = 4 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 8w + -12w = 4 + 12w + -12w Combine like terms: 8w + -12w = -4w -4w = 4 + 12w + -12w Combine like terms: 12w + -12w = 0 -4w = 4 + 0 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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