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Simplifying 31 = 7 + 6(w + -3) Reorder the terms: 31 = 7 + 6(-3 + w) 31 = 7 + (-3 * 6 + w * 6) 31 = 7 + (-18 + 6w) Combine like terms: 7 + -18 = -11 31 = -11 + 6w Solving 31 = -11 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 31 + -6w = -11 + 6w + -6w Combine like terms: 6w + -6w = 0 31 + -6w = -11 + 0 31 + -6w = -11 Add '-31' to each side of the equation. 31 + -31 + -6w = -11 + -31 Combine like terms: 31 + -31 = 0 0 + -6w = -11 + -31 -6w = -11 + -31 Combine like terms: -11 + -31 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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