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Simplifying 12 + -6(w + -3) = 3(-5 + -3w) + 21 Reorder the terms: 12 + -6(-3 + w) = 3(-5 + -3w) + 21 12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21 12 + (18 + -6w) = 3(-5 + -3w) + 21 Combine like terms: 12 + 18 = 30 30 + -6w = 3(-5 + -3w) + 21 30 + -6w = (-5 * 3 + -3w * 3) + 21 30 + -6w = (-15 + -9w) + 21 Reorder the terms: 30 + -6w = -15 + 21 + -9w Combine like terms: -15 + 21 = 6 30 + -6w = 6 + -9w Solving 30 + -6w = 6 + -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. 30 + -6w + 9w = 6 + -9w + 9w Combine like terms: -6w + 9w = 3w 30 + 3w = 6 + -9w + 9w Combine like terms: -9w + 9w = 0 30 + 3w = 6 + 0 30 + 3w = 6 Add '-30' to each side of the equation. 30 + -30 + 3w = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 3w = 6 + -30 3w = 6 + -30 Combine like terms: 6 + -30 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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