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Simplifying 3(5z + -1) + -3(3 + -2z) = 12 Reorder the terms: 3(-1 + 5z) + -3(3 + -2z) = 12 (-1 * 3 + 5z * 3) + -3(3 + -2z) = 12 (-3 + 15z) + -3(3 + -2z) = 12 -3 + 15z + (3 * -3 + -2z * -3) = 12 -3 + 15z + (-9 + 6z) = 12 Reorder the terms: -3 + -9 + 15z + 6z = 12 Combine like terms: -3 + -9 = -12 -12 + 15z + 6z = 12 Combine like terms: 15z + 6z = 21z -12 + 21z = 12 Solving -12 + 21z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 21z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 21z = 12 + 12 21z = 12 + 12 Combine like terms: 12 + 12 = 24 21z = 24 Divide each side by '21'. z = 1.142857143 Simplifying z = 1.142857143
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