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Simplifying -3z + 15 = 6z + -13 Reorder the terms: 15 + -3z = 6z + -13 Reorder the terms: 15 + -3z = -13 + 6z Solving 15 + -3z = -13 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 15 + -3z + -6z = -13 + 6z + -6z Combine like terms: -3z + -6z = -9z 15 + -9z = -13 + 6z + -6z Combine like terms: 6z + -6z = 0 15 + -9z = -13 + 0 15 + -9z = -13 Add '-15' to each side of the equation. 15 + -15 + -9z = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -9z = -13 + -15 -9z = -13 + -15 Combine like terms: -13 + -15 = -28 -9z = -28 Divide each side by '-9'. z = 3.111111111 Simplifying z = 3.111111111
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