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Simplifying 3(2z + -1) + -3(5 + -4z) = 3 Reorder the terms: 3(-1 + 2z) + -3(5 + -4z) = 3 (-1 * 3 + 2z * 3) + -3(5 + -4z) = 3 (-3 + 6z) + -3(5 + -4z) = 3 -3 + 6z + (5 * -3 + -4z * -3) = 3 -3 + 6z + (-15 + 12z) = 3 Reorder the terms: -3 + -15 + 6z + 12z = 3 Combine like terms: -3 + -15 = -18 -18 + 6z + 12z = 3 Combine like terms: 6z + 12z = 18z -18 + 18z = 3 Solving -18 + 18z = 3 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 + 18z = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 18z = 3 + 18 18z = 3 + 18 Combine like terms: 3 + 18 = 21 18z = 21 Divide each side by '18'. z = 1.166666667 Simplifying z = 1.166666667
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