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Simplifying 21z + -3(2z + 14) = 14z + 11 Reorder the terms: 21z + -3(14 + 2z) = 14z + 11 21z + (14 * -3 + 2z * -3) = 14z + 11 21z + (-42 + -6z) = 14z + 11 Reorder the terms: -42 + 21z + -6z = 14z + 11 Combine like terms: 21z + -6z = 15z -42 + 15z = 14z + 11 Reorder the terms: -42 + 15z = 11 + 14z Solving -42 + 15z = 11 + 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. -42 + 15z + -14z = 11 + 14z + -14z Combine like terms: 15z + -14z = 1z -42 + 1z = 11 + 14z + -14z Combine like terms: 14z + -14z = 0 -42 + 1z = 11 + 0 -42 + 1z = 11 Add '42' to each side of the equation. -42 + 42 + 1z = 11 + 42 Combine like terms: -42 + 42 = 0 0 + 1z = 11 + 42 1z = 11 + 42 Combine like terms: 11 + 42 = 53 1z = 53 Divide each side by '1'. z = 53 Simplifying z = 53
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