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Simplifying 13 + -1(-18z + 10) + -29z = 16 Reorder the terms: 13 + -1(10 + -18z) + -29z = 16 13 + (10 * -1 + -18z * -1) + -29z = 16 13 + (-10 + 18z) + -29z = 16 Combine like terms: 13 + -10 = 3 3 + 18z + -29z = 16 Combine like terms: 18z + -29z = -11z 3 + -11z = 16 Solving 3 + -11z = 16 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -11z = 16 + -3 Combine like terms: 3 + -3 = 0 0 + -11z = 16 + -3 -11z = 16 + -3 Combine like terms: 16 + -3 = 13 -11z = 13 Divide each side by '-11'. z = -1.181818182 Simplifying z = -1.181818182
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