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Simplifying 3(w + -3) + -9 = -2(-7w + 5) + -5w Reorder the terms: 3(-3 + w) + -9 = -2(-7w + 5) + -5w (-3 * 3 + w * 3) + -9 = -2(-7w + 5) + -5w (-9 + 3w) + -9 = -2(-7w + 5) + -5w Reorder the terms: -9 + -9 + 3w = -2(-7w + 5) + -5w Combine like terms: -9 + -9 = -18 -18 + 3w = -2(-7w + 5) + -5w Reorder the terms: -18 + 3w = -2(5 + -7w) + -5w -18 + 3w = (5 * -2 + -7w * -2) + -5w -18 + 3w = (-10 + 14w) + -5w Combine like terms: 14w + -5w = 9w -18 + 3w = -10 + 9w Solving -18 + 3w = -10 + 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. -18 + 3w + -9w = -10 + 9w + -9w Combine like terms: 3w + -9w = -6w -18 + -6w = -10 + 9w + -9w Combine like terms: 9w + -9w = 0 -18 + -6w = -10 + 0 -18 + -6w = -10 Add '18' to each side of the equation. -18 + 18 + -6w = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -6w = -10 + 18 -6w = -10 + 18 Combine like terms: -10 + 18 = 8 -6w = 8 Divide each side by '-6'. w = -1.333333333 Simplifying w = -1.333333333
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