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Simplifying 3(3w + -1) = 6(5w + -4) Reorder the terms: 3(-1 + 3w) = 6(5w + -4) (-1 * 3 + 3w * 3) = 6(5w + -4) (-3 + 9w) = 6(5w + -4) Reorder the terms: -3 + 9w = 6(-4 + 5w) -3 + 9w = (-4 * 6 + 5w * 6) -3 + 9w = (-24 + 30w) Solving -3 + 9w = -24 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. -3 + 9w + -30w = -24 + 30w + -30w Combine like terms: 9w + -30w = -21w -3 + -21w = -24 + 30w + -30w Combine like terms: 30w + -30w = 0 -3 + -21w = -24 + 0 -3 + -21w = -24 Add '3' to each side of the equation. -3 + 3 + -21w = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -21w = -24 + 3 -21w = -24 + 3 Combine like terms: -24 + 3 = -21 -21w = -21 Divide each side by '-21'. w = 1 Simplifying w = 1
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