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Simplifying 2(5z + -3) + -2(5 + -2z) = 2 Reorder the terms: 2(-3 + 5z) + -2(5 + -2z) = 2 (-3 * 2 + 5z * 2) + -2(5 + -2z) = 2 (-6 + 10z) + -2(5 + -2z) = 2 -6 + 10z + (5 * -2 + -2z * -2) = 2 -6 + 10z + (-10 + 4z) = 2 Reorder the terms: -6 + -10 + 10z + 4z = 2 Combine like terms: -6 + -10 = -16 -16 + 10z + 4z = 2 Combine like terms: 10z + 4z = 14z -16 + 14z = 2 Solving -16 + 14z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 14z = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 14z = 2 + 16 14z = 2 + 16 Combine like terms: 2 + 16 = 18 14z = 18 Divide each side by '14'. z = 1.285714286 Simplifying z = 1.285714286
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