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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 = -20w 2 + -20w = 6 + 12w + -12w Combine like terms: 12w + -12w = 0 2 + -20w = 6 + 0 2 + -20w = 6 Add '-2' to each side of the equation. 2 + -2 + -20w = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -20w = 6 + -2 -20w = 6 + -2 Combine like terms: 6 + -2 = 4 -20w = 4 Divide each side by '-20'. w = -0.2 Simplifying w = -0.2
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