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Simplifying 2(4w + -5) = -12w + 18 Reorder the terms: 2(-5 + 4w) = -12w + 18 (-5 * 2 + 4w * 2) = -12w + 18 (-10 + 8w) = -12w + 18 Reorder the terms: -10 + 8w = 18 + -12w Solving -10 + 8w = 18 + -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. -10 + 8w + 12w = 18 + -12w + 12w Combine like terms: 8w + 12w = 20w -10 + 20w = 18 + -12w + 12w Combine like terms: -12w + 12w = 0 -10 + 20w = 18 + 0 -10 + 20w = 18 Add '10' to each side of the equation. -10 + 10 + 20w = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 20w = 18 + 10 20w = 18 + 10 Combine like terms: 18 + 10 = 28 20w = 28 Divide each side by '20'. w = 1.4 Simplifying w = 1.4
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