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Simplifying 3(w + -8) + -3 = -6(-3w + 7) + -9w Reorder the terms: 3(-8 + w) + -3 = -6(-3w + 7) + -9w (-8 * 3 + w * 3) + -3 = -6(-3w + 7) + -9w (-24 + 3w) + -3 = -6(-3w + 7) + -9w Reorder the terms: -24 + -3 + 3w = -6(-3w + 7) + -9w Combine like terms: -24 + -3 = -27 -27 + 3w = -6(-3w + 7) + -9w Reorder the terms: -27 + 3w = -6(7 + -3w) + -9w -27 + 3w = (7 * -6 + -3w * -6) + -9w -27 + 3w = (-42 + 18w) + -9w Combine like terms: 18w + -9w = 9w -27 + 3w = -42 + 9w Solving -27 + 3w = -42 + 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. -27 + 3w + -9w = -42 + 9w + -9w Combine like terms: 3w + -9w = -6w -27 + -6w = -42 + 9w + -9w Combine like terms: 9w + -9w = 0 -27 + -6w = -42 + 0 -27 + -6w = -42 Add '27' to each side of the equation. -27 + 27 + -6w = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -6w = -42 + 27 -6w = -42 + 27 Combine like terms: -42 + 27 = -15 -6w = -15 Divide each side by '-6'. w = 2.5 Simplifying w = 2.5
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