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Simplifying 2(4w + -1) = 3(4w + 2) Reorder the terms: 2(-1 + 4w) = 3(4w + 2) (-1 * 2 + 4w * 2) = 3(4w + 2) (-2 + 8w) = 3(4w + 2) Reorder the terms: -2 + 8w = 3(2 + 4w) -2 + 8w = (2 * 3 + 4w * 3) -2 + 8w = (6 + 12w) Solving -2 + 8w = 6 + 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. -2 + 8w + -12w = 6 + 12w + -12w Combine like terms: 8w + -12w = -4w -2 + -4w = 6 + 12w + -12w Combine like terms: 12w + -12w = 0 -2 + -4w = 6 + 0 -2 + -4w = 6 Add '2' to each side of the equation. -2 + 2 + -4w = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4w = 6 + 2 -4w = 6 + 2 Combine like terms: 6 + 2 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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