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Simplifying 10 + 19 + 3w = 6(9 + w) + -14 Combine like terms: 10 + 19 = 29 29 + 3w = 6(9 + w) + -14 29 + 3w = (9 * 6 + w * 6) + -14 29 + 3w = (54 + 6w) + -14 Reorder the terms: 29 + 3w = 54 + -14 + 6w Combine like terms: 54 + -14 = 40 29 + 3w = 40 + 6w Solving 29 + 3w = 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. 29 + 3w + -6w = 40 + 6w + -6w Combine like terms: 3w + -6w = -3w 29 + -3w = 40 + 6w + -6w Combine like terms: 6w + -6w = 0 29 + -3w = 40 + 0 29 + -3w = 40 Add '-29' to each side of the equation. 29 + -29 + -3w = 40 + -29 Combine like terms: 29 + -29 = 0 0 + -3w = 40 + -29 -3w = 40 + -29 Combine like terms: 40 + -29 = 11 -3w = 11 Divide each side by '-3'. w = -3.666666667 Simplifying w = -3.666666667
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