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Simplifying 5(t + 1) + 2(4t) = -60 Reorder the terms: 5(1 + t) + 2(4t) = -60 (1 * 5 + t * 5) + 2(4t) = -60 (5 + 5t) + 2(4t) = -60 Remove parenthesis around (4t) 5 + 5t + 2 * 4t = -60 Multiply 2 * 4 5 + 5t + 8t = -60 Combine like terms: 5t + 8t = 13t 5 + 13t = -60 Solving 5 + 13t = -60 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 13t = -60 + -5 Combine like terms: 5 + -5 = 0 0 + 13t = -60 + -5 13t = -60 + -5 Combine like terms: -60 + -5 = -65 13t = -65 Divide each side by '13'. t = -5 Simplifying t = -5
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