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Simplifying 4z + -14 = -2z + 52 Reorder the terms: -14 + 4z = -2z + 52 Reorder the terms: -14 + 4z = 52 + -2z Solving -14 + 4z = 52 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -14 + 4z + 2z = 52 + -2z + 2z Combine like terms: 4z + 2z = 6z -14 + 6z = 52 + -2z + 2z Combine like terms: -2z + 2z = 0 -14 + 6z = 52 + 0 -14 + 6z = 52 Add '14' to each side of the equation. -14 + 14 + 6z = 52 + 14 Combine like terms: -14 + 14 = 0 0 + 6z = 52 + 14 6z = 52 + 14 Combine like terms: 52 + 14 = 66 6z = 66 Divide each side by '6'. z = 11 Simplifying z = 11
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