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