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