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Simplifying 9 + -3(w + 6) = 3w + 27 Reorder the terms: 9 + -3(6 + w) = 3w + 27 9 + (6 * -3 + w * -3) = 3w + 27 9 + (-18 + -3w) = 3w + 27 Combine like terms: 9 + -18 = -9 -9 + -3w = 3w + 27 Reorder the terms: -9 + -3w = 27 + 3w Solving -9 + -3w = 27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -9 + -3w + -3w = 27 + 3w + -3w Combine like terms: -3w + -3w = -6w -9 + -6w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -6w = 27 + 0 -9 + -6w = 27 Add '9' to each side of the equation. -9 + 9 + -6w = 27 + 9 Combine like terms: -9 + 9 = 0 0 + -6w = 27 + 9 -6w = 27 + 9 Combine like terms: 27 + 9 = 36 -6w = 36 Divide each side by '-6'. w = -6 Simplifying w = -6
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