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Simplifying 6(w + -3) + -9 = -5(-3w + 9) + -1w Reorder the terms: 6(-3 + w) + -9 = -5(-3w + 9) + -1w (-3 * 6 + w * 6) + -9 = -5(-3w + 9) + -1w (-18 + 6w) + -9 = -5(-3w + 9) + -1w Reorder the terms: -18 + -9 + 6w = -5(-3w + 9) + -1w Combine like terms: -18 + -9 = -27 -27 + 6w = -5(-3w + 9) + -1w Reorder the terms: -27 + 6w = -5(9 + -3w) + -1w -27 + 6w = (9 * -5 + -3w * -5) + -1w -27 + 6w = (-45 + 15w) + -1w Combine like terms: 15w + -1w = 14w -27 + 6w = -45 + 14w Solving -27 + 6w = -45 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -27 + 6w + -14w = -45 + 14w + -14w Combine like terms: 6w + -14w = -8w -27 + -8w = -45 + 14w + -14w Combine like terms: 14w + -14w = 0 -27 + -8w = -45 + 0 -27 + -8w = -45 Add '27' to each side of the equation. -27 + 27 + -8w = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -8w = -45 + 27 -8w = -45 + 27 Combine like terms: -45 + 27 = -18 -8w = -18 Divide each side by '-8'. w = 2.25 Simplifying w = 2.25
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