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Simplifying -6(-3w + 6) + -3w = 6(w + -2) + -9 Reorder the terms: -6(6 + -3w) + -3w = 6(w + -2) + -9 (6 * -6 + -3w * -6) + -3w = 6(w + -2) + -9 (-36 + 18w) + -3w = 6(w + -2) + -9 Combine like terms: 18w + -3w = 15w -36 + 15w = 6(w + -2) + -9 Reorder the terms: -36 + 15w = 6(-2 + w) + -9 -36 + 15w = (-2 * 6 + w * 6) + -9 -36 + 15w = (-12 + 6w) + -9 Reorder the terms: -36 + 15w = -12 + -9 + 6w Combine like terms: -12 + -9 = -21 -36 + 15w = -21 + 6w Solving -36 + 15w = -21 + 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. -36 + 15w + -6w = -21 + 6w + -6w Combine like terms: 15w + -6w = 9w -36 + 9w = -21 + 6w + -6w Combine like terms: 6w + -6w = 0 -36 + 9w = -21 + 0 -36 + 9w = -21 Add '36' to each side of the equation. -36 + 36 + 9w = -21 + 36 Combine like terms: -36 + 36 = 0 0 + 9w = -21 + 36 9w = -21 + 36 Combine like terms: -21 + 36 = 15 9w = 15 Divide each side by '9'. w = 1.666666667 Simplifying w = 1.666666667
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