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Simplifying 12 + 6(z + -2) = -3z + 7 Reorder the terms: 12 + 6(-2 + z) = -3z + 7 12 + (-2 * 6 + z * 6) = -3z + 7 12 + (-12 + 6z) = -3z + 7 Combine like terms: 12 + -12 = 0 0 + 6z = -3z + 7 6z = -3z + 7 Reorder the terms: 6z = 7 + -3z Solving 6z = 7 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 6z + 3z = 7 + -3z + 3z Combine like terms: 6z + 3z = 9z 9z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 9z = 7 + 0 9z = 7 Divide each side by '9'. z = 0.7777777778 Simplifying z = 0.7777777778
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