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Simplifying 2(5z + 5) + -4(z + 8) = 0 Reorder the terms: 2(5 + 5z) + -4(z + 8) = 0 (5 * 2 + 5z * 2) + -4(z + 8) = 0 (10 + 10z) + -4(z + 8) = 0 Reorder the terms: 10 + 10z + -4(8 + z) = 0 10 + 10z + (8 * -4 + z * -4) = 0 10 + 10z + (-32 + -4z) = 0 Reorder the terms: 10 + -32 + 10z + -4z = 0 Combine like terms: 10 + -32 = -22 -22 + 10z + -4z = 0 Combine like terms: 10z + -4z = 6z -22 + 6z = 0 Solving -22 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 6z = 0 + 22 6z = 0 + 22 Combine like terms: 0 + 22 = 22 6z = 22 Divide each side by '6'. z = 3.666666667 Simplifying z = 3.666666667
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