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Simplifying 7z + -13 = -8z + 2 Reorder the terms: -13 + 7z = -8z + 2 Reorder the terms: -13 + 7z = 2 + -8z Solving -13 + 7z = 2 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -13 + 7z + 8z = 2 + -8z + 8z Combine like terms: 7z + 8z = 15z -13 + 15z = 2 + -8z + 8z Combine like terms: -8z + 8z = 0 -13 + 15z = 2 + 0 -13 + 15z = 2 Add '13' to each side of the equation. -13 + 13 + 15z = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 15z = 2 + 13 15z = 2 + 13 Combine like terms: 2 + 13 = 15 15z = 15 Divide each side by '15'. z = 1 Simplifying z = 1
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