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Simplifying (12z + -2) + -1(9 + 20z) = 0 Reorder the terms: (-2 + 12z) + -1(9 + 20z) = 0 Remove parenthesis around (-2 + 12z) -2 + 12z + -1(9 + 20z) = 0 -2 + 12z + (9 * -1 + 20z * -1) = 0 -2 + 12z + (-9 + -20z) = 0 Reorder the terms: -2 + -9 + 12z + -20z = 0 Combine like terms: -2 + -9 = -11 -11 + 12z + -20z = 0 Combine like terms: 12z + -20z = -8z -11 + -8z = 0 Solving -11 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -8z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -8z = 0 + 11 -8z = 0 + 11 Combine like terms: 0 + 11 = 11 -8z = 11 Divide each side by '-8'. z = -1.375 Simplifying z = -1.375
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