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Simplifying 3(5z + -1) + -2(4z + 3) = 0 Reorder the terms: 3(-1 + 5z) + -2(4z + 3) = 0 (-1 * 3 + 5z * 3) + -2(4z + 3) = 0 (-3 + 15z) + -2(4z + 3) = 0 Reorder the terms: -3 + 15z + -2(3 + 4z) = 0 -3 + 15z + (3 * -2 + 4z * -2) = 0 -3 + 15z + (-6 + -8z) = 0 Reorder the terms: -3 + -6 + 15z + -8z = 0 Combine like terms: -3 + -6 = -9 -9 + 15z + -8z = 0 Combine like terms: 15z + -8z = 7z -9 + 7z = 0 Solving -9 + 7z = 0 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 + 7z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = 0 + 9 7z = 0 + 9 Combine like terms: 0 + 9 = 9 7z = 9 Divide each side by '7'. z = 1.285714286 Simplifying z = 1.285714286
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