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Simplifying 6z + -1(z + 1) + 9 = 0 Reorder the terms: 6z + -1(1 + z) + 9 = 0 6z + (1 * -1 + z * -1) + 9 = 0 6z + (-1 + -1z) + 9 = 0 Reorder the terms: -1 + 9 + 6z + -1z = 0 Combine like terms: -1 + 9 = 8 8 + 6z + -1z = 0 Combine like terms: 6z + -1z = 5z 8 + 5z = 0 Solving 8 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 0 + -8 5z = 0 + -8 Combine like terms: 0 + -8 = -8 5z = -8 Divide each side by '5'. z = -1.6 Simplifying z = -1.6
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