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