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Simplifying 19 + -6(w + -2) = 7 + -3w Reorder the terms: 19 + -6(-2 + w) = 7 + -3w 19 + (-2 * -6 + w * -6) = 7 + -3w 19 + (12 + -6w) = 7 + -3w Combine like terms: 19 + 12 = 31 31 + -6w = 7 + -3w Solving 31 + -6w = 7 + -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. 31 + -6w + 3w = 7 + -3w + 3w Combine like terms: -6w + 3w = -3w 31 + -3w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 31 + -3w = 7 + 0 31 + -3w = 7 Add '-31' to each side of the equation. 31 + -31 + -3w = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -3w = 7 + -31 -3w = 7 + -31 Combine like terms: 7 + -31 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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