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Simplifying 3(5Z + -3) + -3(3 + -2Z) = 6 Reorder the terms: 3(-3 + 5Z) + -3(3 + -2Z) = 6 (-3 * 3 + 5Z * 3) + -3(3 + -2Z) = 6 (-9 + 15Z) + -3(3 + -2Z) = 6 -9 + 15Z + (3 * -3 + -2Z * -3) = 6 -9 + 15Z + (-9 + 6Z) = 6 Reorder the terms: -9 + -9 + 15Z + 6Z = 6 Combine like terms: -9 + -9 = -18 -18 + 15Z + 6Z = 6 Combine like terms: 15Z + 6Z = 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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