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Simplifying 7(5t + -4) + -1(2 + 15t) = 60 Reorder the terms: 7(-4 + 5t) + -1(2 + 15t) = 60 (-4 * 7 + 5t * 7) + -1(2 + 15t) = 60 (-28 + 35t) + -1(2 + 15t) = 60 -28 + 35t + (2 * -1 + 15t * -1) = 60 -28 + 35t + (-2 + -15t) = 60 Reorder the terms: -28 + -2 + 35t + -15t = 60 Combine like terms: -28 + -2 = -30 -30 + 35t + -15t = 60 Combine like terms: 35t + -15t = 20t -30 + 20t = 60 Solving -30 + 20t = 60 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 20t = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 20t = 60 + 30 20t = 60 + 30 Combine like terms: 60 + 30 = 90 20t = 90 Divide each side by '20'. t = 4.5 Simplifying t = 4.5
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