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Simplifying -2(z + -5) + -1(6z + -9) = -9z Reorder the terms: -2(-5 + z) + -1(6z + -9) = -9z (-5 * -2 + z * -2) + -1(6z + -9) = -9z (10 + -2z) + -1(6z + -9) = -9z Reorder the terms: 10 + -2z + -1(-9 + 6z) = -9z 10 + -2z + (-9 * -1 + 6z * -1) = -9z 10 + -2z + (9 + -6z) = -9z Reorder the terms: 10 + 9 + -2z + -6z = -9z Combine like terms: 10 + 9 = 19 19 + -2z + -6z = -9z Combine like terms: -2z + -6z = -8z 19 + -8z = -9z Solving 19 + -8z = -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 19 + -8z + 9z = -9z + 9z Combine like terms: -8z + 9z = 1z 19 + 1z = -9z + 9z Combine like terms: -9z + 9z = 0 19 + 1z = 0 Add '-19' to each side of the equation. 19 + -19 + 1z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1z = 0 + -19 1z = 0 + -19 Combine like terms: 0 + -19 = -19 1z = -19 Divide each side by '1'. z = -19 Simplifying z = -19
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