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Simplifying 15z + -13 = 12z + 14 Reorder the terms: -13 + 15z = 12z + 14 Reorder the terms: -13 + 15z = 14 + 12z Solving -13 + 15z = 14 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -13 + 15z + -12z = 14 + 12z + -12z Combine like terms: 15z + -12z = 3z -13 + 3z = 14 + 12z + -12z Combine like terms: 12z + -12z = 0 -13 + 3z = 14 + 0 -13 + 3z = 14 Add '13' to each side of the equation. -13 + 13 + 3z = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 3z = 14 + 13 3z = 14 + 13 Combine like terms: 14 + 13 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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