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Simplifying (1 + 2 * 3 + 4 * 5 + 6 * 7 + 8 * 9 + 0) = Z Multiply 2 * 3 (1 + 6 + 4 * 5 + 6 * 7 + 8 * 9 + 0) = Z Multiply 4 * 5 (1 + 6 + 20 + 6 * 7 + 8 * 9 + 0) = Z Multiply 6 * 7 (1 + 6 + 20 + 42 + 8 * 9 + 0) = Z Multiply 8 * 9 (1 + 6 + 20 + 42 + 72 + 0) = Z Combine like terms: 1 + 6 = 7 (7 + 20 + 42 + 72 + 0) = Z Combine like terms: 7 + 20 = 27 (27 + 42 + 72 + 0) = Z Combine like terms: 27 + 42 = 69 (69 + 72 + 0) = Z Combine like terms: 69 + 72 = 141 (141 + 0) = Z Combine like terms: 141 + 0 = 141 (141) = Z 141 = Z Solving 141 = Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-1Z' to each side of the equation. 141 + -1Z = Z + -1Z Combine like terms: Z + -1Z = 0 141 + -1Z = 0 Add '-141' to each side of the equation. 141 + -141 + -1Z = 0 + -141 Combine like terms: 141 + -141 = 0 0 + -1Z = 0 + -141 -1Z = 0 + -141 Combine like terms: 0 + -141 = -141 -1Z = -141 Divide each side by '-1'. Z = 141 Simplifying Z = 141
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