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Simplifying 3(5z + -3) + -3(-2z) = 6 Reorder the terms: 3(-3 + 5z) + -3(-2z) = 6 (-3 * 3 + 5z * 3) + -3(-2z) = 6 (-9 + 15z) + -3(-2z) = 6 Remove parenthesis around (-2z) -9 + 15z + -3 * -2z = 6 Multiply -3 * -2 -9 + 15z + 6z = 6 Combine like terms: 15z + 6z = 21z -9 + 21z = 6 Solving -9 + 21z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 21z = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 21z = 6 + 9 21z = 6 + 9 Combine like terms: 6 + 9 = 15 21z = 15 Divide each side by '21'. z = 0.7142857143 Simplifying z = 0.7142857143
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