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Simplifying 3(2z + -3) + -3(5 + -5z) = 3 Reorder the terms: 3(-3 + 2z) + -3(5 + -5z) = 3 (-3 * 3 + 2z * 3) + -3(5 + -5z) = 3 (-9 + 6z) + -3(5 + -5z) = 3 -9 + 6z + (5 * -3 + -5z * -3) = 3 -9 + 6z + (-15 + 15z) = 3 Reorder the terms: -9 + -15 + 6z + 15z = 3 Combine like terms: -9 + -15 = -24 -24 + 6z + 15z = 3 Combine like terms: 6z + 15z = 21z -24 + 21z = 3 Solving -24 + 21z = 3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 21z = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 21z = 3 + 24 21z = 3 + 24 Combine like terms: 3 + 24 = 27 21z = 27 Divide each side by '21'. z = 1.285714286 Simplifying z = 1.285714286
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