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Simplifying (6z + -12) + (5z + 16) + 90 = 180 Reorder the terms: (-12 + 6z) + (5z + 16) + 90 = 180 Remove parenthesis around (-12 + 6z) -12 + 6z + (5z + 16) + 90 = 180 Reorder the terms: -12 + 6z + (16 + 5z) + 90 = 180 Remove parenthesis around (16 + 5z) -12 + 6z + 16 + 5z + 90 = 180 Reorder the terms: -12 + 16 + 90 + 6z + 5z = 180 Combine like terms: -12 + 16 = 4 4 + 90 + 6z + 5z = 180 Combine like terms: 4 + 90 = 94 94 + 6z + 5z = 180 Combine like terms: 6z + 5z = 11z 94 + 11z = 180 Solving 94 + 11z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + -94 + 11z = 180 + -94 Combine like terms: 94 + -94 = 0 0 + 11z = 180 + -94 11z = 180 + -94 Combine like terms: 180 + -94 = 86 11z = 86 Divide each side by '11'. z = 7.818181818 Simplifying z = 7.818181818
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