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Simplifying 9 + -5z = 12 + -1(6a + 7) Reorder the terms: 9 + -5z = 12 + -1(7 + 6a) 9 + -5z = 12 + (7 * -1 + 6a * -1) 9 + -5z = 12 + (-7 + -6a) Combine like terms: 12 + -7 = 5 9 + -5z = 5 + -6a Solving 9 + -5z = 5 + -6a Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5z = 5 + -9 + -6a Combine like terms: 9 + -9 = 0 0 + -5z = 5 + -9 + -6a -5z = 5 + -9 + -6a Combine like terms: 5 + -9 = -4 -5z = -4 + -6a Divide each side by '-5'. z = 0.8 + 1.2a Simplifying z = 0.8 + 1.2a
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