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Simplifying 2(5z + 5) + -4(z + -5) = 0 Reorder the terms: 2(5 + 5z) + -4(z + -5) = 0 (5 * 2 + 5z * 2) + -4(z + -5) = 0 (10 + 10z) + -4(z + -5) = 0 Reorder the terms: 10 + 10z + -4(-5 + z) = 0 10 + 10z + (-5 * -4 + z * -4) = 0 10 + 10z + (20 + -4z) = 0 Reorder the terms: 10 + 20 + 10z + -4z = 0 Combine like terms: 10 + 20 = 30 30 + 10z + -4z = 0 Combine like terms: 10z + -4z = 6z 30 + 6z = 0 Solving 30 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6z = 0 + -30 6z = 0 + -30 Combine like terms: 0 + -30 = -30 6z = -30 Divide each side by '6'. z = -5 Simplifying z = -5
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