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Simplifying 9 + 3z = 6(z + -2) Reorder the terms: 9 + 3z = 6(-2 + z) 9 + 3z = (-2 * 6 + z * 6) 9 + 3z = (-12 + 6z) Solving 9 + 3z = -12 + 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 = -12 + 6z + -6z Combine like terms: 3z + -6z = -3z 9 + -3z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 9 + -3z = -12 + 0 9 + -3z = -12 Add '-9' to each side of the equation. 9 + -9 + -3z = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3z = -12 + -9 -3z = -12 + -9 Combine like terms: -12 + -9 = -21 -3z = -21 Divide each side by '-3'. z = 7 Simplifying z = 7
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