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Simplifying (15z + -8) + (-14z + -5) = 0 Reorder the terms: (-8 + 15z) + (-14z + -5) = 0 Remove parenthesis around (-8 + 15z) -8 + 15z + (-14z + -5) = 0 Reorder the terms: -8 + 15z + (-5 + -14z) = 0 Remove parenthesis around (-5 + -14z) -8 + 15z + -5 + -14z = 0 Reorder the terms: -8 + -5 + 15z + -14z = 0 Combine like terms: -8 + -5 = -13 -13 + 15z + -14z = 0 Combine like terms: 15z + -14z = 1z -13 + 1z = 0 Solving -13 + 1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1z = 0 + 13 1z = 0 + 13 Combine like terms: 0 + 13 = 13 1z = 13 Divide each side by '1'. z = 13 Simplifying z = 13
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