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Simplifying 8 + -4z = 12 + -1(6z + 8) Reorder the terms: 8 + -4z = 12 + -1(8 + 6z) 8 + -4z = 12 + (8 * -1 + 6z * -1) 8 + -4z = 12 + (-8 + -6z) Combine like terms: 12 + -8 = 4 8 + -4z = 4 + -6z Solving 8 + -4z = 4 + -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. 8 + -4z + 6z = 4 + -6z + 6z Combine like terms: -4z + 6z = 2z 8 + 2z = 4 + -6z + 6z Combine like terms: -6z + 6z = 0 8 + 2z = 4 + 0 8 + 2z = 4 Add '-8' to each side of the equation. 8 + -8 + 2z = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 4 + -8 2z = 4 + -8 Combine like terms: 4 + -8 = -4 2z = -4 Divide each side by '2'. z = -2 Simplifying z = -2
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