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Simplifying 2(2z + -1) + -2(2 + -3z) = 12 Reorder the terms: 2(-1 + 2z) + -2(2 + -3z) = 12 (-1 * 2 + 2z * 2) + -2(2 + -3z) = 12 (-2 + 4z) + -2(2 + -3z) = 12 -2 + 4z + (2 * -2 + -3z * -2) = 12 -2 + 4z + (-4 + 6z) = 12 Reorder the terms: -2 + -4 + 4z + 6z = 12 Combine like terms: -2 + -4 = -6 -6 + 4z + 6z = 12 Combine like terms: 4z + 6z = 10z -6 + 10z = 12 Solving -6 + 10z = 12 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 + 10z = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 10z = 12 + 6 10z = 12 + 6 Combine like terms: 12 + 6 = 18 10z = 18 Divide each side by '10'. z = 1.8 Simplifying z = 1.8
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