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Simplifying 12 + 4(z + -3) = -3z + 1 Reorder the terms: 12 + 4(-3 + z) = -3z + 1 12 + (-3 * 4 + z * 4) = -3z + 1 12 + (-12 + 4z) = -3z + 1 Combine like terms: 12 + -12 = 0 0 + 4z = -3z + 1 4z = -3z + 1 Reorder the terms: 4z = 1 + -3z Solving 4z = 1 + -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. 4z + 3z = 1 + -3z + 3z Combine like terms: 4z + 3z = 7z 7z = 1 + -3z + 3z Combine like terms: -3z + 3z = 0 7z = 1 + 0 7z = 1 Divide each side by '7'. z = 0.1428571429 Simplifying z = 0.1428571429
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