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