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Simplifying -4(z + -9) + -1(7z + -5) = -12z Reorder the terms: -4(-9 + z) + -1(7z + -5) = -12z (-9 * -4 + z * -4) + -1(7z + -5) = -12z (36 + -4z) + -1(7z + -5) = -12z Reorder the terms: 36 + -4z + -1(-5 + 7z) = -12z 36 + -4z + (-5 * -1 + 7z * -1) = -12z 36 + -4z + (5 + -7z) = -12z Reorder the terms: 36 + 5 + -4z + -7z = -12z Combine like terms: 36 + 5 = 41 41 + -4z + -7z = -12z Combine like terms: -4z + -7z = -11z 41 + -11z = -12z Solving 41 + -11z = -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 41 + -11z + 12z = -12z + 12z Combine like terms: -11z + 12z = 1z 41 + 1z = -12z + 12z Combine like terms: -12z + 12z = 0 41 + 1z = 0 Add '-41' to each side of the equation. 41 + -41 + 1z = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1z = 0 + -41 1z = 0 + -41 Combine like terms: 0 + -41 = -41 1z = -41 Divide each side by '1'. z = -41 Simplifying z = -41
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