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Simplifying 3(5z + -3) + -3(4 + -2z) = 6 Reorder the terms: 3(-3 + 5z) + -3(4 + -2z) = 6 (-3 * 3 + 5z * 3) + -3(4 + -2z) = 6 (-9 + 15z) + -3(4 + -2z) = 6 -9 + 15z + (4 * -3 + -2z * -3) = 6 -9 + 15z + (-12 + 6z) = 6 Reorder the terms: -9 + -12 + 15z + 6z = 6 Combine like terms: -9 + -12 = -21 -21 + 15z + 6z = 6 Combine like terms: 15z + 6z = 21z -21 + 21z = 6 Solving -21 + 21z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 21z = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 21z = 6 + 21 21z = 6 + 21 Combine like terms: 6 + 21 = 27 21z = 27 Divide each side by '21'. z = 1.285714286 Simplifying z = 1.285714286
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