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Simplifying -1(z + 4) + 9(3 + -1z) = 0 Reorder the terms: -1(4 + z) + 9(3 + -1z) = 0 (4 * -1 + z * -1) + 9(3 + -1z) = 0 (-4 + -1z) + 9(3 + -1z) = 0 -4 + -1z + (3 * 9 + -1z * 9) = 0 -4 + -1z + (27 + -9z) = 0 Reorder the terms: -4 + 27 + -1z + -9z = 0 Combine like terms: -4 + 27 = 23 23 + -1z + -9z = 0 Combine like terms: -1z + -9z = -10z 23 + -10z = 0 Solving 23 + -10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -10z = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -10z = 0 + -23 -10z = 0 + -23 Combine like terms: 0 + -23 = -23 -10z = -23 Divide each side by '-10'. z = 2.3 Simplifying z = 2.3
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