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Simplifying -6(w + -1) = 3w + 3 + -3(-3w + -2) Reorder the terms: -6(-1 + w) = 3w + 3 + -3(-3w + -2) (-1 * -6 + w * -6) = 3w + 3 + -3(-3w + -2) (6 + -6w) = 3w + 3 + -3(-3w + -2) Reorder the terms: 6 + -6w = 3w + 3 + -3(-2 + -3w) 6 + -6w = 3w + 3 + (-2 * -3 + -3w * -3) 6 + -6w = 3w + 3 + (6 + 9w) Reorder the terms: 6 + -6w = 3 + 6 + 3w + 9w Combine like terms: 3 + 6 = 9 6 + -6w = 9 + 3w + 9w Combine like terms: 3w + 9w = 12w 6 + -6w = 9 + 12w Solving 6 + -6w = 9 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 6 + -6w + -12w = 9 + 12w + -12w Combine like terms: -6w + -12w = -18w 6 + -18w = 9 + 12w + -12w Combine like terms: 12w + -12w = 0 6 + -18w = 9 + 0 6 + -18w = 9 Add '-6' to each side of the equation. 6 + -6 + -18w = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -18w = 9 + -6 -18w = 9 + -6 Combine like terms: 9 + -6 = 3 -18w = 3 Divide each side by '-18'. w = -0.1666666667 Simplifying w = -0.1666666667
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