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Simplifying 7(5t + -4) + -1(2t + 15t) = 60 Reorder the terms: 7(-4 + 5t) + -1(2t + 15t) = 60 (-4 * 7 + 5t * 7) + -1(2t + 15t) = 60 (-28 + 35t) + -1(2t + 15t) = 60 Combine like terms: 2t + 15t = 17t -28 + 35t + -1(17t) = 60 Remove parenthesis around (17t) -28 + 35t + -1 * 17t = 60 Multiply -1 * 17 -28 + 35t + -17t = 60 Combine like terms: 35t + -17t = 18t -28 + 18t = 60 Solving -28 + 18t = 60 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 18t = 60 + 28 Combine like terms: -28 + 28 = 0 0 + 18t = 60 + 28 18t = 60 + 28 Combine like terms: 60 + 28 = 88 18t = 88 Divide each side by '18'. t = 4.888888889 Simplifying t = 4.888888889
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