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Simplifying 3(4z + -3) + -3(3 + -3z) = 6 Reorder the terms: 3(-3 + 4z) + -3(3 + -3z) = 6 (-3 * 3 + 4z * 3) + -3(3 + -3z) = 6 (-9 + 12z) + -3(3 + -3z) = 6 -9 + 12z + (3 * -3 + -3z * -3) = 6 -9 + 12z + (-9 + 9z) = 6 Reorder the terms: -9 + -9 + 12z + 9z = 6 Combine like terms: -9 + -9 = -18 -18 + 12z + 9z = 6 Combine like terms: 12z + 9z = 21z -18 + 21z = 6 Solving -18 + 21z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 21z = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 21z = 6 + 18 21z = 6 + 18 Combine like terms: 6 + 18 = 24 21z = 24 Divide each side by '21'. z = 1.142857143 Simplifying z = 1.142857143
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