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Simplifying -8z + 7 = -6z + -13 Reorder the terms: 7 + -8z = -6z + -13 Reorder the terms: 7 + -8z = -13 + -6z Solving 7 + -8z = -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. 7 + -8z + 6z = -13 + -6z + 6z Combine like terms: -8z + 6z = -2z 7 + -2z = -13 + -6z + 6z Combine like terms: -6z + 6z = 0 7 + -2z = -13 + 0 7 + -2z = -13 Add '-7' to each side of the equation. 7 + -7 + -2z = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -13 + -7 -2z = -13 + -7 Combine like terms: -13 + -7 = -20 -2z = -20 Divide each side by '-2'. z = 10 Simplifying z = 10
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