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Simplifying 12 + 3(z + -4) = -6z + 1 Reorder the terms: 12 + 3(-4 + z) = -6z + 1 12 + (-4 * 3 + z * 3) = -6z + 1 12 + (-12 + 3z) = -6z + 1 Combine like terms: 12 + -12 = 0 0 + 3z = -6z + 1 3z = -6z + 1 Reorder the terms: 3z = 1 + -6z Solving 3z = 1 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 3z + 6z = 1 + -6z + 6z Combine like terms: 3z + 6z = 9z 9z = 1 + -6z + 6z Combine like terms: -6z + 6z = 0 9z = 1 + 0 9z = 1 Divide each side by '9'. z = 0.1111111111 Simplifying z = 0.1111111111
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