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Simplifying 5(w + -6) + -4 = -4(-5w + 5) + -9w Reorder the terms: 5(-6 + w) + -4 = -4(-5w + 5) + -9w (-6 * 5 + w * 5) + -4 = -4(-5w + 5) + -9w (-30 + 5w) + -4 = -4(-5w + 5) + -9w Reorder the terms: -30 + -4 + 5w = -4(-5w + 5) + -9w Combine like terms: -30 + -4 = -34 -34 + 5w = -4(-5w + 5) + -9w Reorder the terms: -34 + 5w = -4(5 + -5w) + -9w -34 + 5w = (5 * -4 + -5w * -4) + -9w -34 + 5w = (-20 + 20w) + -9w Combine like terms: 20w + -9w = 11w -34 + 5w = -20 + 11w Solving -34 + 5w = -20 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -34 + 5w + -11w = -20 + 11w + -11w Combine like terms: 5w + -11w = -6w -34 + -6w = -20 + 11w + -11w Combine like terms: 11w + -11w = 0 -34 + -6w = -20 + 0 -34 + -6w = -20 Add '34' to each side of the equation. -34 + 34 + -6w = -20 + 34 Combine like terms: -34 + 34 = 0 0 + -6w = -20 + 34 -6w = -20 + 34 Combine like terms: -20 + 34 = 14 -6w = 14 Divide each side by '-6'. w = -2.333333333 Simplifying w = -2.333333333
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