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Simplifying 2(2z + -1) + -2(6 + -5z) = 4 Reorder the terms: 2(-1 + 2z) + -2(6 + -5z) = 4 (-1 * 2 + 2z * 2) + -2(6 + -5z) = 4 (-2 + 4z) + -2(6 + -5z) = 4 -2 + 4z + (6 * -2 + -5z * -2) = 4 -2 + 4z + (-12 + 10z) = 4 Reorder the terms: -2 + -12 + 4z + 10z = 4 Combine like terms: -2 + -12 = -14 -14 + 4z + 10z = 4 Combine like terms: 4z + 10z = 14z -14 + 14z = 4 Solving -14 + 14z = 4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 14z = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 14z = 4 + 14 14z = 4 + 14 Combine like terms: 4 + 14 = 18 14z = 18 Divide each side by '14'. z = 1.285714286 Simplifying z = 1.285714286
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