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Simplifying 6 + -3z = 6(-2 + z) 6 + -3z = (-2 * 6 + z * 6) 6 + -3z = (-12 + 6z) Solving 6 + -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. 6 + -3z + -6z = -12 + 6z + -6z Combine like terms: -3z + -6z = -9z 6 + -9z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 6 + -9z = -12 + 0 6 + -9z = -12 Add '-6' to each side of the equation. 6 + -6 + -9z = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -9z = -12 + -6 -9z = -12 + -6 Combine like terms: -12 + -6 = -18 -9z = -18 Divide each side by '-9'. z = 2 Simplifying z = 2
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