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Simplifying 12 + 2(z + -6) = -3z + 4 Reorder the terms: 12 + 2(-6 + z) = -3z + 4 12 + (-6 * 2 + z * 2) = -3z + 4 12 + (-12 + 2z) = -3z + 4 Combine like terms: 12 + -12 = 0 0 + 2z = -3z + 4 2z = -3z + 4 Reorder the terms: 2z = 4 + -3z Solving 2z = 4 + -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. 2z + 3z = 4 + -3z + 3z Combine like terms: 2z + 3z = 5z 5z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 5z = 4 + 0 5z = 4 Divide each side by '5'. z = 0.8 Simplifying z = 0.8
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