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Simplifying 4(w + -3) = 3(5 + -1w) Reorder the terms: 4(-3 + w) = 3(5 + -1w) (-3 * 4 + w * 4) = 3(5 + -1w) (-12 + 4w) = 3(5 + -1w) -12 + 4w = (5 * 3 + -1w * 3) -12 + 4w = (15 + -3w) Solving -12 + 4w = 15 + -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. -12 + 4w + 3w = 15 + -3w + 3w Combine like terms: 4w + 3w = 7w -12 + 7w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + 7w = 15 + 0 -12 + 7w = 15 Add '12' to each side of the equation. -12 + 12 + 7w = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 7w = 15 + 12 7w = 15 + 12 Combine like terms: 15 + 12 = 27 7w = 27 Divide each side by '7'. w = 3.857142857 Simplifying w = 3.857142857
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