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Simplifying 12 + 2(z + -6) = -6z + 7 Reorder the terms: 12 + 2(-6 + z) = -6z + 7 12 + (-6 * 2 + z * 2) = -6z + 7 12 + (-12 + 2z) = -6z + 7 Combine like terms: 12 + -12 = 0 0 + 2z = -6z + 7 2z = -6z + 7 Reorder the terms: 2z = 7 + -6z Solving 2z = 7 + -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. 2z + 6z = 7 + -6z + 6z Combine like terms: 2z + 6z = 8z 8z = 7 + -6z + 6z Combine like terms: -6z + 6z = 0 8z = 7 + 0 8z = 7 Divide each side by '8'. z = 0.875 Simplifying z = 0.875
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