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Simplifying (12z + -2) + (9 + -20z) = 0 Reorder the terms: (-2 + 12z) + (9 + -20z) = 0 Remove parenthesis around (-2 + 12z) -2 + 12z + (9 + -20z) = 0 Remove parenthesis around (9 + -20z) -2 + 12z + 9 + -20z = 0 Reorder the terms: -2 + 9 + 12z + -20z = 0 Combine like terms: -2 + 9 = 7 7 + 12z + -20z = 0 Combine like terms: 12z + -20z = -8z 7 + -8z = 0 Solving 7 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8z = 0 + -7 -8z = 0 + -7 Combine like terms: 0 + -7 = -7 -8z = -7 Divide each side by '-8'. z = 0.875 Simplifying z = 0.875
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