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Simplifying 2(3z + -2) + -2(4 + -2z) = 2 Reorder the terms: 2(-2 + 3z) + -2(4 + -2z) = 2 (-2 * 2 + 3z * 2) + -2(4 + -2z) = 2 (-4 + 6z) + -2(4 + -2z) = 2 -4 + 6z + (4 * -2 + -2z * -2) = 2 -4 + 6z + (-8 + 4z) = 2 Reorder the terms: -4 + -8 + 6z + 4z = 2 Combine like terms: -4 + -8 = -12 -12 + 6z + 4z = 2 Combine like terms: 6z + 4z = 10z -12 + 10z = 2 Solving -12 + 10z = 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 + 10z = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 10z = 2 + 12 10z = 2 + 12 Combine like terms: 2 + 12 = 14 10z = 14 Divide each side by '10'. z = 1.4 Simplifying z = 1.4
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