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Simplifying -4(z + -3) = 2 + -3z Reorder the terms: -4(-3 + z) = 2 + -3z (-3 * -4 + z * -4) = 2 + -3z (12 + -4z) = 2 + -3z Solving 12 + -4z = 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 + -4z + 3z = 2 + -3z + 3z Combine like terms: -4z + 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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