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Simplifying 7(5t + -4) + -1(2 + 15) = 60 Reorder the terms: 7(-4 + 5t) + -1(2 + 15) = 60 (-4 * 7 + 5t * 7) + -1(2 + 15) = 60 (-28 + 35t) + -1(2 + 15) = 60 Combine like terms: 2 + 15 = 17 -28 + 35t + -1(17) = 60 Multiply -1 * 17 -28 + 35t + -17 = 60 Reorder the terms: -28 + -17 + 35t = 60 Combine like terms: -28 + -17 = -45 -45 + 35t = 60 Solving -45 + 35t = 60 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 35t = 60 + 45 Combine like terms: -45 + 45 = 0 0 + 35t = 60 + 45 35t = 60 + 45 Combine like terms: 60 + 45 = 105 35t = 105 Divide each side by '35'. t = 3 Simplifying t = 3
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