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Simplifying -5(z + -7) + -1(6z + -9) = -12 Reorder the terms: -5(-7 + z) + -1(6z + -9) = -12 (-7 * -5 + z * -5) + -1(6z + -9) = -12 (35 + -5z) + -1(6z + -9) = -12 Reorder the terms: 35 + -5z + -1(-9 + 6z) = -12 35 + -5z + (-9 * -1 + 6z * -1) = -12 35 + -5z + (9 + -6z) = -12 Reorder the terms: 35 + 9 + -5z + -6z = -12 Combine like terms: 35 + 9 = 44 44 + -5z + -6z = -12 Combine like terms: -5z + -6z = -11z 44 + -11z = -12 Solving 44 + -11z = -12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -11z = -12 + -44 Combine like terms: 44 + -44 = 0 0 + -11z = -12 + -44 -11z = -12 + -44 Combine like terms: -12 + -44 = -56 -11z = -56 Divide each side by '-11'. z = 5.090909091 Simplifying z = 5.090909091
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