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Simplifying 10w + 19 + -4w = 10 + -3(w + 12) Reorder the terms: 19 + 10w + -4w = 10 + -3(w + 12) Combine like terms: 10w + -4w = 6w 19 + 6w = 10 + -3(w + 12) Reorder the terms: 19 + 6w = 10 + -3(12 + w) 19 + 6w = 10 + (12 * -3 + w * -3) 19 + 6w = 10 + (-36 + -3w) Combine like terms: 10 + -36 = -26 19 + 6w = -26 + -3w Solving 19 + 6w = -26 + -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. 19 + 6w + 3w = -26 + -3w + 3w Combine like terms: 6w + 3w = 9w 19 + 9w = -26 + -3w + 3w Combine like terms: -3w + 3w = 0 19 + 9w = -26 + 0 19 + 9w = -26 Add '-19' to each side of the equation. 19 + -19 + 9w = -26 + -19 Combine like terms: 19 + -19 = 0 0 + 9w = -26 + -19 9w = -26 + -19 Combine like terms: -26 + -19 = -45 9w = -45 Divide each side by '9'. w = -5 Simplifying w = -5
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