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Simplifying 3(4z + -1) + -3(6 + -3z) = 6 Reorder the terms: 3(-1 + 4z) + -3(6 + -3z) = 6 (-1 * 3 + 4z * 3) + -3(6 + -3z) = 6 (-3 + 12z) + -3(6 + -3z) = 6 -3 + 12z + (6 * -3 + -3z * -3) = 6 -3 + 12z + (-18 + 9z) = 6 Reorder the terms: -3 + -18 + 12z + 9z = 6 Combine like terms: -3 + -18 = -21 -21 + 12z + 9z = 6 Combine like terms: 12z + 9z = 21z -21 + 21z = 6 Solving -21 + 21z = 6 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 + 21z = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 21z = 6 + 21 21z = 6 + 21 Combine like terms: 6 + 21 = 27 21z = 27 Divide each side by '21'. z = 1.285714286 Simplifying z = 1.285714286
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