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Simplifying 9(2 + -1) + -2(3z + 4) = 7 Combine like terms: 2 + -1 = 1 9(1) + -2(3z + 4) = 7 Multiply 9 * 1 9 + -2(3z + 4) = 7 Reorder the terms: 9 + -2(4 + 3z) = 7 9 + (4 * -2 + 3z * -2) = 7 9 + (-8 + -6z) = 7 Combine like terms: 9 + -8 = 1 1 + -6z = 7 Solving 1 + -6z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6z = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6z = 7 + -1 -6z = 7 + -1 Combine like terms: 7 + -1 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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