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Simplifying -9(w + -1) + -1(6 + -3w) = -7 Reorder the terms: -9(-1 + w) + -1(6 + -3w) = -7 (-1 * -9 + w * -9) + -1(6 + -3w) = -7 (9 + -9w) + -1(6 + -3w) = -7 9 + -9w + (6 * -1 + -3w * -1) = -7 9 + -9w + (-6 + 3w) = -7 Reorder the terms: 9 + -6 + -9w + 3w = -7 Combine like terms: 9 + -6 = 3 3 + -9w + 3w = -7 Combine like terms: -9w + 3w = -6w 3 + -6w = -7 Solving 3 + -6w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6w = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -6w = -7 + -3 -6w = -7 + -3 Combine like terms: -7 + -3 = -10 -6w = -10 Divide each side by '-6'. w = 1.666666667 Simplifying w = 1.666666667
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