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Simplifying w + -5w + -3 = 3w + -5 Reorder the terms: -3 + w + -5w = 3w + -5 Combine like terms: w + -5w = -4w -3 + -4w = 3w + -5 Reorder the terms: -3 + -4w = -5 + 3w Solving -3 + -4w = -5 + 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. -3 + -4w + -3w = -5 + 3w + -3w Combine like terms: -4w + -3w = -7w -3 + -7w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + -7w = -5 + 0 -3 + -7w = -5 Add '3' to each side of the equation. -3 + 3 + -7w = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -7w = -5 + 3 -7w = -5 + 3 Combine like terms: -5 + 3 = -2 -7w = -2 Divide each side by '-7'. w = 0.2857142857 Simplifying w = 0.2857142857
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