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Simplifying (11z + 12) + -1(3z + -8) = 0 Reorder the terms: (12 + 11z) + -1(3z + -8) = 0 Remove parenthesis around (12 + 11z) 12 + 11z + -1(3z + -8) = 0 Reorder the terms: 12 + 11z + -1(-8 + 3z) = 0 12 + 11z + (-8 * -1 + 3z * -1) = 0 12 + 11z + (8 + -3z) = 0 Reorder the terms: 12 + 8 + 11z + -3z = 0 Combine like terms: 12 + 8 = 20 20 + 11z + -3z = 0 Combine like terms: 11z + -3z = 8z 20 + 8z = 0 Solving 20 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8z = 0 + -20 8z = 0 + -20 Combine like terms: 0 + -20 = -20 8z = -20 Divide each side by '8'. z = -2.5 Simplifying z = -2.5
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