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Simplifying 2(z + 1) + -3(4z + -2) = 6z Reorder the terms: 2(1 + z) + -3(4z + -2) = 6z (1 * 2 + z * 2) + -3(4z + -2) = 6z (2 + 2z) + -3(4z + -2) = 6z Reorder the terms: 2 + 2z + -3(-2 + 4z) = 6z 2 + 2z + (-2 * -3 + 4z * -3) = 6z 2 + 2z + (6 + -12z) = 6z Reorder the terms: 2 + 6 + 2z + -12z = 6z Combine like terms: 2 + 6 = 8 8 + 2z + -12z = 6z Combine like terms: 2z + -12z = -10z 8 + -10z = 6z Solving 8 + -10z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 8 + -10z + -6z = 6z + -6z Combine like terms: -10z + -6z = -16z 8 + -16z = 6z + -6z Combine like terms: 6z + -6z = 0 8 + -16z = 0 Add '-8' to each side of the equation. 8 + -8 + -16z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -16z = 0 + -8 -16z = 0 + -8 Combine like terms: 0 + -8 = -8 -16z = -8 Divide each side by '-16'. z = 0.5 Simplifying z = 0.5
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