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Simplifying -5(z + -5) + -1(9 + 4z) = -10z Reorder the terms: -5(-5 + z) + -1(9 + 4z) = -10z (-5 * -5 + z * -5) + -1(9 + 4z) = -10z (25 + -5z) + -1(9 + 4z) = -10z 25 + -5z + (9 * -1 + 4z * -1) = -10z 25 + -5z + (-9 + -4z) = -10z Reorder the terms: 25 + -9 + -5z + -4z = -10z Combine like terms: 25 + -9 = 16 16 + -5z + -4z = -10z Combine like terms: -5z + -4z = -9z 16 + -9z = -10z Solving 16 + -9z = -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 16 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z 16 + 1z = -10z + 10z Combine like terms: -10z + 10z = 0 16 + 1z = 0 Add '-16' to each side of the equation. 16 + -16 + 1z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 0 + -16 1z = 0 + -16 Combine like terms: 0 + -16 = -16 1z = -16 Divide each side by '1'. z = -16 Simplifying z = -16
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