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Simplifying 2(2z + -1) + -2(5 + -4z) = 2 Reorder the terms: 2(-1 + 2z) + -2(5 + -4z) = 2 (-1 * 2 + 2z * 2) + -2(5 + -4z) = 2 (-2 + 4z) + -2(5 + -4z) = 2 -2 + 4z + (5 * -2 + -4z * -2) = 2 -2 + 4z + (-10 + 8z) = 2 Reorder the terms: -2 + -10 + 4z + 8z = 2 Combine like terms: -2 + -10 = -12 -12 + 4z + 8z = 2 Combine like terms: 4z + 8z = 12z -12 + 12z = 2 Solving -12 + 12z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12z = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 12z = 2 + 12 12z = 2 + 12 Combine like terms: 2 + 12 = 14 12z = 14 Divide each side by '12'. z = 1.166666667 Simplifying z = 1.166666667
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