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Simplifying 12 + 3(z + -4) = -4z + 65 Reorder the terms: 12 + 3(-4 + z) = -4z + 65 12 + (-4 * 3 + z * 3) = -4z + 65 12 + (-12 + 3z) = -4z + 65 Combine like terms: 12 + -12 = 0 0 + 3z = -4z + 65 3z = -4z + 65 Reorder the terms: 3z = 65 + -4z Solving 3z = 65 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 3z + 4z = 65 + -4z + 4z Combine like terms: 3z + 4z = 7z 7z = 65 + -4z + 4z Combine like terms: -4z + 4z = 0 7z = 65 + 0 7z = 65 Divide each side by '7'. z = 9.285714286 Simplifying z = 9.285714286
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