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Simplifying 6z + -13 = 8z + -25 Reorder the terms: -13 + 6z = 8z + -25 Reorder the terms: -13 + 6z = -25 + 8z Solving -13 + 6z = -25 + 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 + 6z + -8z = -25 + 8z + -8z Combine like terms: 6z + -8z = -2z -13 + -2z = -25 + 8z + -8z Combine like terms: 8z + -8z = 0 -13 + -2z = -25 + 0 -13 + -2z = -25 Add '13' to each side of the equation. -13 + 13 + -2z = -25 + 13 Combine like terms: -13 + 13 = 0 0 + -2z = -25 + 13 -2z = -25 + 13 Combine like terms: -25 + 13 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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