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Simplifying 4z + -2(z + -6) = 2 + 3z Reorder the terms: 4z + -2(-6 + z) = 2 + 3z 4z + (-6 * -2 + z * -2) = 2 + 3z 4z + (12 + -2z) = 2 + 3z Reorder the terms: 12 + 4z + -2z = 2 + 3z Combine like terms: 4z + -2z = 2z 12 + 2z = 2 + 3z Solving 12 + 2z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 12 + 2z + -3z = 2 + 3z + -3z Combine like terms: 2z + -3z = -1z 12 + -1z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 12 + -1z = 2 + 0 12 + -1z = 2 Add '-12' to each side of the equation. 12 + -12 + -1z = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = 2 + -12 -1z = 2 + -12 Combine like terms: 2 + -12 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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