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Simplifying 7(1 + 2z) = -21 (1 * 7 + 2z * 7) = -21 (7 + 14z) = -21 Solving 7 + 14z = -21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14z = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 14z = -21 + -7 14z = -21 + -7 Combine like terms: -21 + -7 = -28 14z = -28 Divide each side by '14'. z = -2 Simplifying z = -2
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