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Simplifying 2(4z + -2) + -2(4 + -2z) = 2 Reorder the terms: 2(-2 + 4z) + -2(4 + -2z) = 2 (-2 * 2 + 4z * 2) + -2(4 + -2z) = 2 (-4 + 8z) + -2(4 + -2z) = 2 -4 + 8z + (4 * -2 + -2z * -2) = 2 -4 + 8z + (-8 + 4z) = 2 Reorder the terms: -4 + -8 + 8z + 4z = 2 Combine like terms: -4 + -8 = -12 -12 + 8z + 4z = 2 Combine like terms: 8z + 4z = 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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