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Simplifying 6(w + -1) + -3(2 + w) = 9 Reorder the terms: 6(-1 + w) + -3(2 + w) = 9 (-1 * 6 + w * 6) + -3(2 + w) = 9 (-6 + 6w) + -3(2 + w) = 9 -6 + 6w + (2 * -3 + w * -3) = 9 -6 + 6w + (-6 + -3w) = 9 Reorder the terms: -6 + -6 + 6w + -3w = 9 Combine like terms: -6 + -6 = -12 -12 + 6w + -3w = 9 Combine like terms: 6w + -3w = 3w -12 + 3w = 9 Solving -12 + 3w = 9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3w = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3w = 9 + 12 3w = 9 + 12 Combine like terms: 9 + 12 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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