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Simplifying 6z + -7 + 3(z + 9) = 0 Reorder the terms: 6z + -7 + 3(9 + z) = 0 6z + -7 + (9 * 3 + z * 3) = 0 6z + -7 + (27 + 3z) = 0 Reorder the terms: -7 + 27 + 6z + 3z = 0 Combine like terms: -7 + 27 = 20 20 + 6z + 3z = 0 Combine like terms: 6z + 3z = 9z 20 + 9z = 0 Solving 20 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 9z = 0 + -20 9z = 0 + -20 Combine like terms: 0 + -20 = -20 9z = -20 Divide each side by '9'. z = -2.222222222 Simplifying z = -2.222222222
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