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Simplifying 2(2z + -2) + -2(4 + -2z) = 2 Reorder the terms: 2(-2 + 2z) + -2(4 + -2z) = 2 (-2 * 2 + 2z * 2) + -2(4 + -2z) = 2 (-4 + 4z) + -2(4 + -2z) = 2 -4 + 4z + (4 * -2 + -2z * -2) = 2 -4 + 4z + (-8 + 4z) = 2 Reorder the terms: -4 + -8 + 4z + 4z = 2 Combine like terms: -4 + -8 = -12 -12 + 4z + 4z = 2 Combine like terms: 4z + 4z = 8z -12 + 8z = 2 Solving -12 + 8z = 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 + 8z = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 8z = 2 + 12 8z = 2 + 12 Combine like terms: 2 + 12 = 14 8z = 14 Divide each side by '8'. z = 1.75 Simplifying z = 1.75
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