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Simplifying -5(z + 1) + -1(4z + -6) = -10z Reorder the terms: -5(1 + z) + -1(4z + -6) = -10z (1 * -5 + z * -5) + -1(4z + -6) = -10z (-5 + -5z) + -1(4z + -6) = -10z Reorder the terms: -5 + -5z + -1(-6 + 4z) = -10z -5 + -5z + (-6 * -1 + 4z * -1) = -10z -5 + -5z + (6 + -4z) = -10z Reorder the terms: -5 + 6 + -5z + -4z = -10z Combine like terms: -5 + 6 = 1 1 + -5z + -4z = -10z Combine like terms: -5z + -4z = -9z 1 + -9z = -10z Solving 1 + -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. 1 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z 1 + 1z = -10z + 10z Combine like terms: -10z + 10z = 0 1 + 1z = 0 Add '-1' to each side of the equation. 1 + -1 + 1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 0 + -1 1z = 0 + -1 Combine like terms: 0 + -1 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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