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Simplifying 12 + 6(z + -2) = -2z + 7 Reorder the terms: 12 + 6(-2 + z) = -2z + 7 12 + (-2 * 6 + z * 6) = -2z + 7 12 + (-12 + 6z) = -2z + 7 Combine like terms: 12 + -12 = 0 0 + 6z = -2z + 7 6z = -2z + 7 Reorder the terms: 6z = 7 + -2z Solving 6z = 7 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 6z + 2z = 7 + -2z + 2z Combine like terms: 6z + 2z = 8z 8z = 7 + -2z + 2z Combine like terms: -2z + 2z = 0 8z = 7 + 0 8z = 7 Divide each side by '8'. z = 0.875 Simplifying z = 0.875
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