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Simplifying 13z + -16 = 14z + 13 Reorder the terms: -16 + 13z = 14z + 13 Reorder the terms: -16 + 13z = 13 + 14z Solving -16 + 13z = 13 + 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. -16 + 13z + -14z = 13 + 14z + -14z Combine like terms: 13z + -14z = -1z -16 + -1z = 13 + 14z + -14z Combine like terms: 14z + -14z = 0 -16 + -1z = 13 + 0 -16 + -1z = 13 Add '16' to each side of the equation. -16 + 16 + -1z = 13 + 16 Combine like terms: -16 + 16 = 0 0 + -1z = 13 + 16 -1z = 13 + 16 Combine like terms: 13 + 16 = 29 -1z = 29 Divide each side by '-1'. z = -29 Simplifying z = -29
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