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Simplifying 12 + 2(z + -6) = -5z + 3 Reorder the terms: 12 + 2(-6 + z) = -5z + 3 12 + (-6 * 2 + z * 2) = -5z + 3 12 + (-12 + 2z) = -5z + 3 Combine like terms: 12 + -12 = 0 0 + 2z = -5z + 3 2z = -5z + 3 Reorder the terms: 2z = 3 + -5z Solving 2z = 3 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 2z + 5z = 3 + -5z + 5z Combine like terms: 2z + 5z = 7z 7z = 3 + -5z + 5z Combine like terms: -5z + 5z = 0 7z = 3 + 0 7z = 3 Divide each side by '7'. z = 0.4285714286 Simplifying z = 0.4285714286
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