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Simplifying 3(2z + -1) + -3(5 + -5z) = 6 Reorder the terms: 3(-1 + 2z) + -3(5 + -5z) = 6 (-1 * 3 + 2z * 3) + -3(5 + -5z) = 6 (-3 + 6z) + -3(5 + -5z) = 6 -3 + 6z + (5 * -3 + -5z * -3) = 6 -3 + 6z + (-15 + 15z) = 6 Reorder the terms: -3 + -15 + 6z + 15z = 6 Combine like terms: -3 + -15 = -18 -18 + 6z + 15z = 6 Combine like terms: 6z + 15z = 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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