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Simplifying 12 + 4(2 + -3) = 3z + 1 Combine like terms: 2 + -3 = -1 12 + 4(-1) = 3z + 1 Multiply 4 * -1 12 + -4 = 3z + 1 Combine like terms: 12 + -4 = 8 8 = 3z + 1 Reorder the terms: 8 = 1 + 3z Solving 8 = 1 + 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 = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + -3z = 1 + 0 8 + -3z = 1 Add '-8' to each side of the equation. 8 + -8 + -3z = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -3z = 1 + -8 -3z = 1 + -8 Combine like terms: 1 + -8 = -7 -3z = -7 Divide each side by '-3'. z = 2.333333333 Simplifying z = 2.333333333
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