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Simplifying 2(2z + -1) + -2(4 + -4z) = 4 Reorder the terms: 2(-1 + 2z) + -2(4 + -4z) = 4 (-1 * 2 + 2z * 2) + -2(4 + -4z) = 4 (-2 + 4z) + -2(4 + -4z) = 4 -2 + 4z + (4 * -2 + -4z * -2) = 4 -2 + 4z + (-8 + 8z) = 4 Reorder the terms: -2 + -8 + 4z + 8z = 4 Combine like terms: -2 + -8 = -10 -10 + 4z + 8z = 4 Combine like terms: 4z + 8z = 12z -10 + 12z = 4 Solving -10 + 12z = 4 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 + 12z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 12z = 4 + 10 12z = 4 + 10 Combine like terms: 4 + 10 = 14 12z = 14 Divide each side by '12'. z = 1.166666667 Simplifying z = 1.166666667
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