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Simplifying (5t + 1) + 6 = 3(4 + m) + (2m + -1) Reorder the terms: (1 + 5t) + 6 = 3(4 + m) + (2m + -1) Remove parenthesis around (1 + 5t) 1 + 5t + 6 = 3(4 + m) + (2m + -1) Reorder the terms: 1 + 6 + 5t = 3(4 + m) + (2m + -1) Combine like terms: 1 + 6 = 7 7 + 5t = 3(4 + m) + (2m + -1) 7 + 5t = (4 * 3 + m * 3) + (2m + -1) 7 + 5t = (12 + 3m) + (2m + -1) Reorder the terms: 7 + 5t = 12 + 3m + (-1 + 2m) Remove parenthesis around (-1 + 2m) 7 + 5t = 12 + 3m + -1 + 2m Reorder the terms: 7 + 5t = 12 + -1 + 3m + 2m Combine like terms: 12 + -1 = 11 7 + 5t = 11 + 3m + 2m Combine like terms: 3m + 2m = 5m 7 + 5t = 11 + 5m Solving 7 + 5t = 11 + 5m Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5t = 11 + -7 + 5m Combine like terms: 7 + -7 = 0 0 + 5t = 11 + -7 + 5m 5t = 11 + -7 + 5m Combine like terms: 11 + -7 = 4 5t = 4 + 5m Divide each side by '5'. t = 0.8 + m Simplifying t = 0.8 + m
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