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Simplifying (6t + -1) + (4t + 2) + (7t + 3) + 3t = 124 Reorder the terms: (-1 + 6t) + (4t + 2) + (7t + 3) + 3t = 124 Remove parenthesis around (-1 + 6t) -1 + 6t + (4t + 2) + (7t + 3) + 3t = 124 Reorder the terms: -1 + 6t + (2 + 4t) + (7t + 3) + 3t = 124 Remove parenthesis around (2 + 4t) -1 + 6t + 2 + 4t + (7t + 3) + 3t = 124 Reorder the terms: -1 + 6t + 2 + 4t + (3 + 7t) + 3t = 124 Remove parenthesis around (3 + 7t) -1 + 6t + 2 + 4t + 3 + 7t + 3t = 124 Reorder the terms: -1 + 2 + 3 + 6t + 4t + 7t + 3t = 124 Combine like terms: -1 + 2 = 1 1 + 3 + 6t + 4t + 7t + 3t = 124 Combine like terms: 1 + 3 = 4 4 + 6t + 4t + 7t + 3t = 124 Combine like terms: 6t + 4t = 10t 4 + 10t + 7t + 3t = 124 Combine like terms: 10t + 7t = 17t 4 + 17t + 3t = 124 Combine like terms: 17t + 3t = 20t 4 + 20t = 124 Solving 4 + 20t = 124 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 20t = 124 + -4 Combine like terms: 4 + -4 = 0 0 + 20t = 124 + -4 20t = 124 + -4 Combine like terms: 124 + -4 = 120 20t = 120 Divide each side by '20'. t = 6 Simplifying t = 6
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