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Simplifying 7(t + -2) + -1(-3t + 1) = 3 Reorder the terms: 7(-2 + t) + -1(-3t + 1) = 3 (-2 * 7 + t * 7) + -1(-3t + 1) = 3 (-14 + 7t) + -1(-3t + 1) = 3 Reorder the terms: -14 + 7t + -1(1 + -3t) = 3 -14 + 7t + (1 * -1 + -3t * -1) = 3 -14 + 7t + (-1 + 3t) = 3 Reorder the terms: -14 + -1 + 7t + 3t = 3 Combine like terms: -14 + -1 = -15 -15 + 7t + 3t = 3 Combine like terms: 7t + 3t = 10t -15 + 10t = 3 Solving -15 + 10t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 10t = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 10t = 3 + 15 10t = 3 + 15 Combine like terms: 3 + 15 = 18 10t = 18 Divide each side by '10'. t = 1.8 Simplifying t = 1.8
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