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Simplifying 10w + 19 + 3w = 6(9 + w) + -14 Reorder the terms: 19 + 10w + 3w = 6(9 + w) + -14 Combine like terms: 10w + 3w = 13w 19 + 13w = 6(9 + w) + -14 19 + 13w = (9 * 6 + w * 6) + -14 19 + 13w = (54 + 6w) + -14 Reorder the terms: 19 + 13w = 54 + -14 + 6w Combine like terms: 54 + -14 = 40 19 + 13w = 40 + 6w Solving 19 + 13w = 40 + 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. 19 + 13w + -6w = 40 + 6w + -6w Combine like terms: 13w + -6w = 7w 19 + 7w = 40 + 6w + -6w Combine like terms: 6w + -6w = 0 19 + 7w = 40 + 0 19 + 7w = 40 Add '-19' to each side of the equation. 19 + -19 + 7w = 40 + -19 Combine like terms: 19 + -19 = 0 0 + 7w = 40 + -19 7w = 40 + -19 Combine like terms: 40 + -19 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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