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Simplifying 12 + 4(z + -3) = -5z + 2 Reorder the terms: 12 + 4(-3 + z) = -5z + 2 12 + (-3 * 4 + z * 4) = -5z + 2 12 + (-12 + 4z) = -5z + 2 Combine like terms: 12 + -12 = 0 0 + 4z = -5z + 2 4z = -5z + 2 Reorder the terms: 4z = 2 + -5z Solving 4z = 2 + -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. 4z + 5z = 2 + -5z + 5z Combine like terms: 4z + 5z = 9z 9z = 2 + -5z + 5z Combine like terms: -5z + 5z = 0 9z = 2 + 0 9z = 2 Divide each side by '9'. z = 0.2222222222 Simplifying z = 0.2222222222
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