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