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Simplifying (1 * 2 + 3 * 4 + 5 * 6 + 7 * 8) = T Multiply 1 * 2 (2 + 3 * 4 + 5 * 6 + 7 * 8) = T Multiply 3 * 4 (2 + 12 + 5 * 6 + 7 * 8) = T Multiply 5 * 6 (2 + 12 + 30 + 7 * 8) = T Multiply 7 * 8 (2 + 12 + 30 + 56) = T Combine like terms: 2 + 12 = 14 (14 + 30 + 56) = T Combine like terms: 14 + 30 = 44 (44 + 56) = T Combine like terms: 44 + 56 = 100 (100) = T 100 = T Solving 100 = T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-1T' to each side of the equation. 100 + -1T = T + -1T Combine like terms: T + -1T = 0 100 + -1T = 0 Add '-100' to each side of the equation. 100 + -100 + -1T = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1T = 0 + -100 -1T = 0 + -100 Combine like terms: 0 + -100 = -100 -1T = -100 Divide each side by '-1'. T = 100 Simplifying T = 100
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