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Simplifying 9 + 3z = 6(z + -1) Reorder the terms: 9 + 3z = 6(-1 + z) 9 + 3z = (-1 * 6 + z * 6) 9 + 3z = (-6 + 6z) Solving 9 + 3z = -6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 9 + 3z + -6z = -6 + 6z + -6z Combine like terms: 3z + -6z = -3z 9 + -3z = -6 + 6z + -6z Combine like terms: 6z + -6z = 0 9 + -3z = -6 + 0 9 + -3z = -6 Add '-9' to each side of the equation. 9 + -9 + -3z = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3z = -6 + -9 -3z = -6 + -9 Combine like terms: -6 + -9 = -15 -3z = -15 Divide each side by '-3'. z = 5 Simplifying z = 5
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