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Simplifying 3(z + 7) = 14z + -1 Reorder the terms: 3(7 + z) = 14z + -1 (7 * 3 + z * 3) = 14z + -1 (21 + 3z) = 14z + -1 Reorder the terms: 21 + 3z = -1 + 14z Solving 21 + 3z = -1 + 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 + 3z + -14z = -1 + 14z + -14z Combine like terms: 3z + -14z = -11z 21 + -11z = -1 + 14z + -14z Combine like terms: 14z + -14z = 0 21 + -11z = -1 + 0 21 + -11z = -1 Add '-21' to each side of the equation. 21 + -21 + -11z = -1 + -21 Combine like terms: 21 + -21 = 0 0 + -11z = -1 + -21 -11z = -1 + -21 Combine like terms: -1 + -21 = -22 -11z = -22 Divide each side by '-11'. z = 2 Simplifying z = 2
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