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Simplifying 5(3w + -4) = -3(3 + 2w) Reorder the terms: 5(-4 + 3w) = -3(3 + 2w) (-4 * 5 + 3w * 5) = -3(3 + 2w) (-20 + 15w) = -3(3 + 2w) -20 + 15w = (3 * -3 + 2w * -3) -20 + 15w = (-9 + -6w) Solving -20 + 15w = -9 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -20 + 15w + 6w = -9 + -6w + 6w Combine like terms: 15w + 6w = 21w -20 + 21w = -9 + -6w + 6w Combine like terms: -6w + 6w = 0 -20 + 21w = -9 + 0 -20 + 21w = -9 Add '20' to each side of the equation. -20 + 20 + 21w = -9 + 20 Combine like terms: -20 + 20 = 0 0 + 21w = -9 + 20 21w = -9 + 20 Combine like terms: -9 + 20 = 11 21w = 11 Divide each side by '21'. w = 0.5238095238 Simplifying w = 0.5238095238
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