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