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Simplifying 2(5z + -2) + -2(3 + -2z) = 8 Reorder the terms: 2(-2 + 5z) + -2(3 + -2z) = 8 (-2 * 2 + 5z * 2) + -2(3 + -2z) = 8 (-4 + 10z) + -2(3 + -2z) = 8 -4 + 10z + (3 * -2 + -2z * -2) = 8 -4 + 10z + (-6 + 4z) = 8 Reorder the terms: -4 + -6 + 10z + 4z = 8 Combine like terms: -4 + -6 = -10 -10 + 10z + 4z = 8 Combine like terms: 10z + 4z = 14z -10 + 14z = 8 Solving -10 + 14z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 14z = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 14z = 8 + 10 14z = 8 + 10 Combine like terms: 8 + 10 = 18 14z = 18 Divide each side by '14'. z = 1.285714286 Simplifying z = 1.285714286
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