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Simplifying 7(5t + -2) + -1(2 + 15t) = 60 Reorder the terms: 7(-2 + 5t) + -1(2 + 15t) = 60 (-2 * 7 + 5t * 7) + -1(2 + 15t) = 60 (-14 + 35t) + -1(2 + 15t) = 60 -14 + 35t + (2 * -1 + 15t * -1) = 60 -14 + 35t + (-2 + -15t) = 60 Reorder the terms: -14 + -2 + 35t + -15t = 60 Combine like terms: -14 + -2 = -16 -16 + 35t + -15t = 60 Combine like terms: 35t + -15t = 20t -16 + 20t = 60 Solving -16 + 20t = 60 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 20t = 60 + 16 Combine like terms: -16 + 16 = 0 0 + 20t = 60 + 16 20t = 60 + 16 Combine like terms: 60 + 16 = 76 20t = 76 Divide each side by '20'. t = 3.8 Simplifying t = 3.8
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