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Simplifying 5(2z + -3) + -3(4 + z) = 0 Reorder the terms: 5(-3 + 2z) + -3(4 + z) = 0 (-3 * 5 + 2z * 5) + -3(4 + z) = 0 (-15 + 10z) + -3(4 + z) = 0 -15 + 10z + (4 * -3 + z * -3) = 0 -15 + 10z + (-12 + -3z) = 0 Reorder the terms: -15 + -12 + 10z + -3z = 0 Combine like terms: -15 + -12 = -27 -27 + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z -27 + 7z = 0 Solving -27 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 7z = 0 + 27 7z = 0 + 27 Combine like terms: 0 + 27 = 27 7z = 27 Divide each side by '7'. z = 3.857142857 Simplifying z = 3.857142857
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