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Simplifying 3(4z + -1) + -3(z + 6) = 2 Reorder the terms: 3(-1 + 4z) + -3(z + 6) = 2 (-1 * 3 + 4z * 3) + -3(z + 6) = 2 (-3 + 12z) + -3(z + 6) = 2 Reorder the terms: -3 + 12z + -3(6 + z) = 2 -3 + 12z + (6 * -3 + z * -3) = 2 -3 + 12z + (-18 + -3z) = 2 Reorder the terms: -3 + -18 + 12z + -3z = 2 Combine like terms: -3 + -18 = -21 -21 + 12z + -3z = 2 Combine like terms: 12z + -3z = 9z -21 + 9z = 2 Solving -21 + 9z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 9z = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 9z = 2 + 21 9z = 2 + 21 Combine like terms: 2 + 21 = 23 9z = 23 Divide each side by '9'. z = 2.555555556 Simplifying z = 2.555555556
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