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Simplifying 2(2z + -2) + -2(2 + -5z) = 8 Reorder the terms: 2(-2 + 2z) + -2(2 + -5z) = 8 (-2 * 2 + 2z * 2) + -2(2 + -5z) = 8 (-4 + 4z) + -2(2 + -5z) = 8 -4 + 4z + (2 * -2 + -5z * -2) = 8 -4 + 4z + (-4 + 10z) = 8 Reorder the terms: -4 + -4 + 4z + 10z = 8 Combine like terms: -4 + -4 = -8 -8 + 4z + 10z = 8 Combine like terms: 4z + 10z = 14z -8 + 14z = 8 Solving -8 + 14z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 14z = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 14z = 8 + 8 14z = 8 + 8 Combine like terms: 8 + 8 = 16 14z = 16 Divide each side by '14'. z = 1.142857143 Simplifying z = 1.142857143
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