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Simplifying -7(t + -3) + -3(3t + 1) = -14 Reorder the terms: -7(-3 + t) + -3(3t + 1) = -14 (-3 * -7 + t * -7) + -3(3t + 1) = -14 (21 + -7t) + -3(3t + 1) = -14 Reorder the terms: 21 + -7t + -3(1 + 3t) = -14 21 + -7t + (1 * -3 + 3t * -3) = -14 21 + -7t + (-3 + -9t) = -14 Reorder the terms: 21 + -3 + -7t + -9t = -14 Combine like terms: 21 + -3 = 18 18 + -7t + -9t = -14 Combine like terms: -7t + -9t = -16t 18 + -16t = -14 Solving 18 + -16t = -14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -16t = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -16t = -14 + -18 -16t = -14 + -18 Combine like terms: -14 + -18 = -32 -16t = -32 Divide each side by '-16'. t = 2 Simplifying t = 2
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