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Simplifying 13(t + 1) + -3(2 + 4t) = 48 Reorder the terms: 13(1 + t) + -3(2 + 4t) = 48 (1 * 13 + t * 13) + -3(2 + 4t) = 48 (13 + 13t) + -3(2 + 4t) = 48 13 + 13t + (2 * -3 + 4t * -3) = 48 13 + 13t + (-6 + -12t) = 48 Reorder the terms: 13 + -6 + 13t + -12t = 48 Combine like terms: 13 + -6 = 7 7 + 13t + -12t = 48 Combine like terms: 13t + -12t = 1t 7 + 1t = 48 Solving 7 + 1t = 48 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 + 1t = 48 + -7 Combine like terms: 7 + -7 = 0 0 + 1t = 48 + -7 1t = 48 + -7 Combine like terms: 48 + -7 = 41 1t = 41 Divide each side by '1'. t = 41 Simplifying t = 41
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