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Simplifying (9z + 12) + -1(5z + -7) = 0 Reorder the terms: (12 + 9z) + -1(5z + -7) = 0 Remove parenthesis around (12 + 9z) 12 + 9z + -1(5z + -7) = 0 Reorder the terms: 12 + 9z + -1(-7 + 5z) = 0 12 + 9z + (-7 * -1 + 5z * -1) = 0 12 + 9z + (7 + -5z) = 0 Reorder the terms: 12 + 7 + 9z + -5z = 0 Combine like terms: 12 + 7 = 19 19 + 9z + -5z = 0 Combine like terms: 9z + -5z = 4z 19 + 4z = 0 Solving 19 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4z = 0 + -19 4z = 0 + -19 Combine like terms: 0 + -19 = -19 4z = -19 Divide each side by '4'. z = -4.75 Simplifying z = -4.75
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