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Simplifying 6(6 + -1w) + 3 = -3(w + -3) + -11 (6 * 6 + -1w * 6) + 3 = -3(w + -3) + -11 (36 + -6w) + 3 = -3(w + -3) + -11 Reorder the terms: 36 + 3 + -6w = -3(w + -3) + -11 Combine like terms: 36 + 3 = 39 39 + -6w = -3(w + -3) + -11 Reorder the terms: 39 + -6w = -3(-3 + w) + -11 39 + -6w = (-3 * -3 + w * -3) + -11 39 + -6w = (9 + -3w) + -11 Reorder the terms: 39 + -6w = 9 + -11 + -3w Combine like terms: 9 + -11 = -2 39 + -6w = -2 + -3w Solving 39 + -6w = -2 + -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. 39 + -6w + 3w = -2 + -3w + 3w Combine like terms: -6w + 3w = -3w 39 + -3w = -2 + -3w + 3w Combine like terms: -3w + 3w = 0 39 + -3w = -2 + 0 39 + -3w = -2 Add '-39' to each side of the equation. 39 + -39 + -3w = -2 + -39 Combine like terms: 39 + -39 = 0 0 + -3w = -2 + -39 -3w = -2 + -39 Combine like terms: -2 + -39 = -41 -3w = -41 Divide each side by '-3'. w = 13.66666667 Simplifying w = 13.66666667
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