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Simplifying 3(5t + -1) = 10 + -2t Reorder the terms: 3(-1 + 5t) = 10 + -2t (-1 * 3 + 5t * 3) = 10 + -2t (-3 + 15t) = 10 + -2t Solving -3 + 15t = 10 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -3 + 15t + 2t = 10 + -2t + 2t Combine like terms: 15t + 2t = 17t -3 + 17t = 10 + -2t + 2t Combine like terms: -2t + 2t = 0 -3 + 17t = 10 + 0 -3 + 17t = 10 Add '3' to each side of the equation. -3 + 3 + 17t = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 17t = 10 + 3 17t = 10 + 3 Combine like terms: 10 + 3 = 13 17t = 13 Divide each side by '17'. t = 0.7647058824 Simplifying t = 0.7647058824
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