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Simplifying 15z + -12 = 13z + 8 Reorder the terms: -12 + 15z = 13z + 8 Reorder the terms: -12 + 15z = 8 + 13z Solving -12 + 15z = 8 + 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. -12 + 15z + -13z = 8 + 13z + -13z Combine like terms: 15z + -13z = 2z -12 + 2z = 8 + 13z + -13z Combine like terms: 13z + -13z = 0 -12 + 2z = 8 + 0 -12 + 2z = 8 Add '12' to each side of the equation. -12 + 12 + 2z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = 8 + 12 2z = 8 + 12 Combine like terms: 8 + 12 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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