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Simplifying 15 + 13 + -8 = 12z + -1z + 7 Combine like terms: 15 + 13 = 28 28 + -8 = 12z + -1z + 7 Combine like terms: 28 + -8 = 20 20 = 12z + -1z + 7 Reorder the terms: 20 = 7 + 12z + -1z Combine like terms: 12z + -1z = 11z 20 = 7 + 11z Solving 20 = 7 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 20 + -11z = 7 + 11z + -11z Combine like terms: 11z + -11z = 0 20 + -11z = 7 + 0 20 + -11z = 7 Add '-20' to each side of the equation. 20 + -20 + -11z = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -11z = 7 + -20 -11z = 7 + -20 Combine like terms: 7 + -20 = -13 -11z = -13 Divide each side by '-11'. z = 1.181818182 Simplifying z = 1.181818182
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