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Simplifying 2(3z + -1) + -2(3 + -2z) = 4 Reorder the terms: 2(-1 + 3z) + -2(3 + -2z) = 4 (-1 * 2 + 3z * 2) + -2(3 + -2z) = 4 (-2 + 6z) + -2(3 + -2z) = 4 -2 + 6z + (3 * -2 + -2z * -2) = 4 -2 + 6z + (-6 + 4z) = 4 Reorder the terms: -2 + -6 + 6z + 4z = 4 Combine like terms: -2 + -6 = -8 -8 + 6z + 4z = 4 Combine like terms: 6z + 4z = 10z -8 + 10z = 4 Solving -8 + 10z = 4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 10z = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 10z = 4 + 8 10z = 4 + 8 Combine like terms: 4 + 8 = 12 10z = 12 Divide each side by '10'. z = 1.2 Simplifying z = 1.2
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