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Simplifying 12(z + 5) = 13z + 2 Reorder the terms: 12(5 + z) = 13z + 2 (5 * 12 + z * 12) = 13z + 2 (60 + 12z) = 13z + 2 Reorder the terms: 60 + 12z = 2 + 13z Solving 60 + 12z = 2 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 60 + 12z + -13z = 2 + 13z + -13z Combine like terms: 12z + -13z = -1z 60 + -1z = 2 + 13z + -13z Combine like terms: 13z + -13z = 0 60 + -1z = 2 + 0 60 + -1z = 2 Add '-60' to each side of the equation. 60 + -60 + -1z = 2 + -60 Combine like terms: 60 + -60 = 0 0 + -1z = 2 + -60 -1z = 2 + -60 Combine like terms: 2 + -60 = -58 -1z = -58 Divide each side by '-1'. z = 58 Simplifying z = 58
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