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Simplifying 12 = 10 + -5(5 + -1w) 12 = 10 + (5 * -5 + -1w * -5) 12 = 10 + (-25 + 5w) Combine like terms: 10 + -25 = -15 12 = -15 + 5w Solving 12 = -15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 12 + -5w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + -5w = -15 + 0 12 + -5w = -15 Add '-12' to each side of the equation. 12 + -12 + -5w = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = -15 + -12 -5w = -15 + -12 Combine like terms: -15 + -12 = -27 -5w = -27 Divide each side by '-5'. w = 5.4 Simplifying w = 5.4
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