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Simplifying -7(t + -7) + -3(3t + 1) = -2 Reorder the terms: -7(-7 + t) + -3(3t + 1) = -2 (-7 * -7 + t * -7) + -3(3t + 1) = -2 (49 + -7t) + -3(3t + 1) = -2 Reorder the terms: 49 + -7t + -3(1 + 3t) = -2 49 + -7t + (1 * -3 + 3t * -3) = -2 49 + -7t + (-3 + -9t) = -2 Reorder the terms: 49 + -3 + -7t + -9t = -2 Combine like terms: 49 + -3 = 46 46 + -7t + -9t = -2 Combine like terms: -7t + -9t = -16t 46 + -16t = -2 Solving 46 + -16t = -2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -16t = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -16t = -2 + -46 -16t = -2 + -46 Combine like terms: -2 + -46 = -48 -16t = -48 Divide each side by '-16'. t = 3 Simplifying t = 3
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