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Simplifying 9(z + -1) + -2(-6z + -8) = 7 Reorder the terms: 9(-1 + z) + -2(-6z + -8) = 7 (-1 * 9 + z * 9) + -2(-6z + -8) = 7 (-9 + 9z) + -2(-6z + -8) = 7 Reorder the terms: -9 + 9z + -2(-8 + -6z) = 7 -9 + 9z + (-8 * -2 + -6z * -2) = 7 -9 + 9z + (16 + 12z) = 7 Reorder the terms: -9 + 16 + 9z + 12z = 7 Combine like terms: -9 + 16 = 7 7 + 9z + 12z = 7 Combine like terms: 9z + 12z = 21z 7 + 21z = 7 Add '-7' to each side of the equation. 7 + -7 + 21z = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 21z = 7 + -7 21z = 7 + -7 Combine like terms: 7 + -7 = 0 21z = 0 Solving 21z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '21'. z = 0 Simplifying z = 0
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