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Simplifying -5w + 2 = 15w + -10 Reorder the terms: 2 + -5w = 15w + -10 Reorder the terms: 2 + -5w = -10 + 15w Solving 2 + -5w = -10 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 2 + -5w + -15w = -10 + 15w + -15w Combine like terms: -5w + -15w = -20w 2 + -20w = -10 + 15w + -15w Combine like terms: 15w + -15w = 0 2 + -20w = -10 + 0 2 + -20w = -10 Add '-2' to each side of the equation. 2 + -2 + -20w = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -20w = -10 + -2 -20w = -10 + -2 Combine like terms: -10 + -2 = -12 -20w = -12 Divide each side by '-20'. w = 0.6 Simplifying w = 0.6

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