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Simplifying 2(3z + -2) + -2(5 + -2z) = 6 Reorder the terms: 2(-2 + 3z) + -2(5 + -2z) = 6 (-2 * 2 + 3z * 2) + -2(5 + -2z) = 6 (-4 + 6z) + -2(5 + -2z) = 6 -4 + 6z + (5 * -2 + -2z * -2) = 6 -4 + 6z + (-10 + 4z) = 6 Reorder the terms: -4 + -10 + 6z + 4z = 6 Combine like terms: -4 + -10 = -14 -14 + 6z + 4z = 6 Combine like terms: 6z + 4z = 10z -14 + 10z = 6 Solving -14 + 10z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 10z = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 10z = 6 + 14 10z = 6 + 14 Combine like terms: 6 + 14 = 20 10z = 20 Divide each side by '10'. z = 2 Simplifying z = 2
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