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Simplifying (w + -5) + -5w + -35 = 10w + 30 + -7w + -5 Reorder the terms: (-5 + w) + -5w + -35 = 10w + 30 + -7w + -5 Remove parenthesis around (-5 + w) -5 + w + -5w + -35 = 10w + 30 + -7w + -5 Reorder the terms: -5 + -35 + w + -5w = 10w + 30 + -7w + -5 Combine like terms: -5 + -35 = -40 -40 + w + -5w = 10w + 30 + -7w + -5 Combine like terms: w + -5w = -4w -40 + -4w = 10w + 30 + -7w + -5 Reorder the terms: -40 + -4w = 30 + -5 + 10w + -7w Combine like terms: 30 + -5 = 25 -40 + -4w = 25 + 10w + -7w Combine like terms: 10w + -7w = 3w -40 + -4w = 25 + 3w Solving -40 + -4w = 25 + 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. -40 + -4w + -3w = 25 + 3w + -3w Combine like terms: -4w + -3w = -7w -40 + -7w = 25 + 3w + -3w Combine like terms: 3w + -3w = 0 -40 + -7w = 25 + 0 -40 + -7w = 25 Add '40' to each side of the equation. -40 + 40 + -7w = 25 + 40 Combine like terms: -40 + 40 = 0 0 + -7w = 25 + 40 -7w = 25 + 40 Combine like terms: 25 + 40 = 65 -7w = 65 Divide each side by '-7'. w = -9.285714286 Simplifying w = -9.285714286
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