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Simplifying 3(5t + -3) + (4t + -8) = 0 Reorder the terms: 3(-3 + 5t) + (4t + -8) = 0 (-3 * 3 + 5t * 3) + (4t + -8) = 0 (-9 + 15t) + (4t + -8) = 0 Reorder the terms: -9 + 15t + (-8 + 4t) = 0 Remove parenthesis around (-8 + 4t) -9 + 15t + -8 + 4t = 0 Reorder the terms: -9 + -8 + 15t + 4t = 0 Combine like terms: -9 + -8 = -17 -17 + 15t + 4t = 0 Combine like terms: 15t + 4t = 19t -17 + 19t = 0 Solving -17 + 19t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 19t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 19t = 0 + 17 19t = 0 + 17 Combine like terms: 0 + 17 = 17 19t = 17 Divide each side by '19'. t = 0.8947368421 Simplifying t = 0.8947368421
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