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Simplifying (5z + -3) + -1(-2z + 9) = 0 Reorder the terms: (-3 + 5z) + -1(-2z + 9) = 0 Remove parenthesis around (-3 + 5z) -3 + 5z + -1(-2z + 9) = 0 Reorder the terms: -3 + 5z + -1(9 + -2z) = 0 -3 + 5z + (9 * -1 + -2z * -1) = 0 -3 + 5z + (-9 + 2z) = 0 Reorder the terms: -3 + -9 + 5z + 2z = 0 Combine like terms: -3 + -9 = -12 -12 + 5z + 2z = 0 Combine like terms: 5z + 2z = 7z -12 + 7z = 0 Solving -12 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7z = 0 + 12 7z = 0 + 12 Combine like terms: 0 + 12 = 12 7z = 12 Divide each side by '7'. z = 1.714285714 Simplifying z = 1.714285714
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