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Simplifying 3(t + -3) + 2(5t + 1) = 0 Reorder the terms: 3(-3 + t) + 2(5t + 1) = 0 (-3 * 3 + t * 3) + 2(5t + 1) = 0 (-9 + 3t) + 2(5t + 1) = 0 Reorder the terms: -9 + 3t + 2(1 + 5t) = 0 -9 + 3t + (1 * 2 + 5t * 2) = 0 -9 + 3t + (2 + 10t) = 0 Reorder the terms: -9 + 2 + 3t + 10t = 0 Combine like terms: -9 + 2 = -7 -7 + 3t + 10t = 0 Combine like terms: 3t + 10t = 13t -7 + 13t = 0 Solving -7 + 13t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 13t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 13t = 0 + 7 13t = 0 + 7 Combine like terms: 0 + 7 = 7 13t = 7 Divide each side by '13'. t = 0.5384615385 Simplifying t = 0.5384615385
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