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Simplifying 3(z + -9) + 12 = -21 Reorder the terms: 3(-9 + z) + 12 = -21 (-9 * 3 + z * 3) + 12 = -21 (-27 + 3z) + 12 = -21 Reorder the terms: -27 + 12 + 3z = -21 Combine like terms: -27 + 12 = -15 -15 + 3z = -21 Solving -15 + 3z = -21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3z = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 3z = -21 + 15 3z = -21 + 15 Combine like terms: -21 + 15 = -6 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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