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Simplifying 7(z + -12) = 21 Reorder the terms: 7(-12 + z) = 21 (-12 * 7 + z * 7) = 21 (-84 + 7z) = 21 Solving -84 + 7z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 7z = 21 + 84 Combine like terms: -84 + 84 = 0 0 + 7z = 21 + 84 7z = 21 + 84 Combine like terms: 21 + 84 = 105 7z = 105 Divide each side by '7'. z = 15 Simplifying z = 15
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