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Simplifying 2(4z + -1) + -2(2 + -2z) = 8 Reorder the terms: 2(-1 + 4z) + -2(2 + -2z) = 8 (-1 * 2 + 4z * 2) + -2(2 + -2z) = 8 (-2 + 8z) + -2(2 + -2z) = 8 -2 + 8z + (2 * -2 + -2z * -2) = 8 -2 + 8z + (-4 + 4z) = 8 Reorder the terms: -2 + -4 + 8z + 4z = 8 Combine like terms: -2 + -4 = -6 -6 + 8z + 4z = 8 Combine like terms: 8z + 4z = 12z -6 + 12z = 8 Solving -6 + 12z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12z = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 12z = 8 + 6 12z = 8 + 6 Combine like terms: 8 + 6 = 14 12z = 14 Divide each side by '12'. z = 1.166666667 Simplifying z = 1.166666667
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