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Simplifying -3(5w + -3) + 6w = 7 + 3(3w + -2) Reorder the terms: -3(-3 + 5w) + 6w = 7 + 3(3w + -2) (-3 * -3 + 5w * -3) + 6w = 7 + 3(3w + -2) (9 + -15w) + 6w = 7 + 3(3w + -2) Combine like terms: -15w + 6w = -9w 9 + -9w = 7 + 3(3w + -2) Reorder the terms: 9 + -9w = 7 + 3(-2 + 3w) 9 + -9w = 7 + (-2 * 3 + 3w * 3) 9 + -9w = 7 + (-6 + 9w) Combine like terms: 7 + -6 = 1 9 + -9w = 1 + 9w Solving 9 + -9w = 1 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 9 + -9w + -9w = 1 + 9w + -9w Combine like terms: -9w + -9w = -18w 9 + -18w = 1 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + -18w = 1 + 0 9 + -18w = 1 Add '-9' to each side of the equation. 9 + -9 + -18w = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -18w = 1 + -9 -18w = 1 + -9 Combine like terms: 1 + -9 = -8 -18w = -8 Divide each side by '-18'. w = 0.4444444444 Simplifying w = 0.4444444444
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