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Simplifying 3z + 4(2z + 1) + -1(5z + -1 + -5) = 9 Reorder the terms: 3z + 4(1 + 2z) + -1(5z + -1 + -5) = 9 3z + (1 * 4 + 2z * 4) + -1(5z + -1 + -5) = 9 3z + (4 + 8z) + -1(5z + -1 + -5) = 9 Reorder the terms: 3z + 4 + 8z + -1(-1 + -5 + 5z) = 9 Combine like terms: -1 + -5 = -6 3z + 4 + 8z + -1(-6 + 5z) = 9 3z + 4 + 8z + (-6 * -1 + 5z * -1) = 9 3z + 4 + 8z + (6 + -5z) = 9 Reorder the terms: 4 + 6 + 3z + 8z + -5z = 9 Combine like terms: 4 + 6 = 10 10 + 3z + 8z + -5z = 9 Combine like terms: 3z + 8z = 11z 10 + 11z + -5z = 9 Combine like terms: 11z + -5z = 6z 10 + 6z = 9 Solving 10 + 6z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6z = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 6z = 9 + -10 6z = 9 + -10 Combine like terms: 9 + -10 = -1 6z = -1 Divide each side by '6'. z = -0.1666666667 Simplifying z = -0.1666666667
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