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Simplifying -3(w + 3) = 9w + -3 + 3(2w + 2) Reorder the terms: -3(3 + w) = 9w + -3 + 3(2w + 2) (3 * -3 + w * -3) = 9w + -3 + 3(2w + 2) (-9 + -3w) = 9w + -3 + 3(2w + 2) Reorder the terms: -9 + -3w = 9w + -3 + 3(2 + 2w) -9 + -3w = 9w + -3 + (2 * 3 + 2w * 3) -9 + -3w = 9w + -3 + (6 + 6w) Reorder the terms: -9 + -3w = -3 + 6 + 9w + 6w Combine like terms: -3 + 6 = 3 -9 + -3w = 3 + 9w + 6w Combine like terms: 9w + 6w = 15w -9 + -3w = 3 + 15w Solving -9 + -3w = 3 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -9 + -3w + -15w = 3 + 15w + -15w Combine like terms: -3w + -15w = -18w -9 + -18w = 3 + 15w + -15w Combine like terms: 15w + -15w = 0 -9 + -18w = 3 + 0 -9 + -18w = 3 Add '9' to each side of the equation. -9 + 9 + -18w = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -18w = 3 + 9 -18w = 3 + 9 Combine like terms: 3 + 9 = 12 -18w = 12 Divide each side by '-18'. w = -0.6666666667 Simplifying w = -0.6666666667
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