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