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Simplifying 10w + 10 + 3w = 6(9 + w) + -14 Reorder the terms: 10 + 10w + 3w = 6(9 + w) + -14 Combine like terms: 10w + 3w = 13w 10 + 13w = 6(9 + w) + -14 10 + 13w = (9 * 6 + w * 6) + -14 10 + 13w = (54 + 6w) + -14 Reorder the terms: 10 + 13w = 54 + -14 + 6w Combine like terms: 54 + -14 = 40 10 + 13w = 40 + 6w Solving 10 + 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. 10 + 13w + -6w = 40 + 6w + -6w Combine like terms: 13w + -6w = 7w 10 + 7w = 40 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + 7w = 40 + 0 10 + 7w = 40 Add '-10' to each side of the equation. 10 + -10 + 7w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 7w = 40 + -10 7w = 40 + -10 Combine like terms: 40 + -10 = 30 7w = 30 Divide each side by '7'. w = 4.285714286 Simplifying w = 4.285714286
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