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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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