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Simplifying 12 + z(2 + -6) = -6z + 3 Combine like terms: 2 + -6 = -4 12 + z(-4) = -6z + 3 Reorder the terms for easier multiplication: 12 + -4z = -6z + 3 Reorder the terms: 12 + -4z = 3 + -6z Solving 12 + -4z = 3 + -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. 12 + -4z + 6z = 3 + -6z + 6z Combine like terms: -4z + 6z = 2z 12 + 2z = 3 + -6z + 6z Combine like terms: -6z + 6z = 0 12 + 2z = 3 + 0 12 + 2z = 3 Add '-12' to each side of the equation. 12 + -12 + 2z = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 3 + -12 2z = 3 + -12 Combine like terms: 3 + -12 = -9 2z = -9 Divide each side by '2'. z = -4.5 Simplifying z = -4.5
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