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Simplifying 5 + 3(4w + -5) = -2(4w + -4) + 5w Reorder the terms: 5 + 3(-5 + 4w) = -2(4w + -4) + 5w 5 + (-5 * 3 + 4w * 3) = -2(4w + -4) + 5w 5 + (-15 + 12w) = -2(4w + -4) + 5w Combine like terms: 5 + -15 = -10 -10 + 12w = -2(4w + -4) + 5w Reorder the terms: -10 + 12w = -2(-4 + 4w) + 5w -10 + 12w = (-4 * -2 + 4w * -2) + 5w -10 + 12w = (8 + -8w) + 5w Combine like terms: -8w + 5w = -3w -10 + 12w = 8 + -3w Solving -10 + 12w = 8 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -10 + 12w + 3w = 8 + -3w + 3w Combine like terms: 12w + 3w = 15w -10 + 15w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 -10 + 15w = 8 + 0 -10 + 15w = 8 Add '10' to each side of the equation. -10 + 10 + 15w = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 15w = 8 + 10 15w = 8 + 10 Combine like terms: 8 + 10 = 18 15w = 18 Divide each side by '15'. w = 1.2 Simplifying w = 1.2
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