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Simplifying 10 + -12 + -2w = 3w + -3 Combine like terms: 10 + -12 = -2 -2 + -2w = 3w + -3 Reorder the terms: -2 + -2w = -3 + 3w Solving -2 + -2w = -3 + 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. -2 + -2w + -3w = -3 + 3w + -3w Combine like terms: -2w + -3w = -5w -2 + -5w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + -5w = -3 + 0 -2 + -5w = -3 Add '2' to each side of the equation. -2 + 2 + -5w = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -5w = -3 + 2 -5w = -3 + 2 Combine like terms: -3 + 2 = -1 -5w = -1 Divide each side by '-5'. w = 0.2 Simplifying w = 0.2
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