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Simplifying (6z + 1) + -1(z + -9) = 0 Reorder the terms: (1 + 6z) + -1(z + -9) = 0 Remove parenthesis around (1 + 6z) 1 + 6z + -1(z + -9) = 0 Reorder the terms: 1 + 6z + -1(-9 + z) = 0 1 + 6z + (-9 * -1 + z * -1) = 0 1 + 6z + (9 + -1z) = 0 Reorder the terms: 1 + 9 + 6z + -1z = 0 Combine like terms: 1 + 9 = 10 10 + 6z + -1z = 0 Combine like terms: 6z + -1z = 5z 10 + 5z = 0 Solving 10 + 5z = 0 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 + 5z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5z = 0 + -10 5z = 0 + -10 Combine like terms: 0 + -10 = -10 5z = -10 Divide each side by '5'. z = -2 Simplifying z = -2
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