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Simplifying 3(w + -2) + -6w = -27 Reorder the terms: 3(-2 + w) + -6w = -27 (-2 * 3 + w * 3) + -6w = -27 (-6 + 3w) + -6w = -27 Combine like terms: 3w + -6w = -3w -6 + -3w = -27 Solving -6 + -3w = -27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -3w = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = -27 + 6 -3w = -27 + 6 Combine like terms: -27 + 6 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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