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Simplifying 4(3z + -2) = 2(n + 1) Reorder the terms: 4(-2 + 3z) = 2(n + 1) (-2 * 4 + 3z * 4) = 2(n + 1) (-8 + 12z) = 2(n + 1) Reorder the terms: -8 + 12z = 2(1 + n) -8 + 12z = (1 * 2 + n * 2) -8 + 12z = (2 + 2n) Solving -8 + 12z = 2 + 2n 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 + 12z = 2 + 8 + 2n Combine like terms: -8 + 8 = 0 0 + 12z = 2 + 8 + 2n 12z = 2 + 8 + 2n Combine like terms: 2 + 8 = 10 12z = 10 + 2n Divide each side by '12'. z = 0.8333333333 + 0.1666666667n Simplifying z = 0.8333333333 + 0.1666666667n
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