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Simplifying 12 = 10 + -2(3z + -4) Reorder the terms: 12 = 10 + -2(-4 + 3z) 12 = 10 + (-4 * -2 + 3z * -2) 12 = 10 + (8 + -6z) Combine like terms: 10 + 8 = 18 12 = 18 + -6z Solving 12 = 18 + -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 + 6z = 18 + -6z + 6z Combine like terms: -6z + 6z = 0 12 + 6z = 18 + 0 12 + 6z = 18 Add '-12' to each side of the equation. 12 + -12 + 6z = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 6z = 18 + -12 6z = 18 + -12 Combine like terms: 18 + -12 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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