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Simplifying (7 + -2) + -1(-3t + 2) = -3(1 + -3t) Combine like terms: 7 + -2 = 5 (5) + -1(-3t + 2) = -3(1 + -3t) 5 + -1(-3t + 2) = -3(1 + -3t) Reorder the terms: 5 + -1(2 + -3t) = -3(1 + -3t) 5 + (2 * -1 + -3t * -1) = -3(1 + -3t) 5 + (-2 + 3t) = -3(1 + -3t) Combine like terms: 5 + -2 = 3 3 + 3t = -3(1 + -3t) 3 + 3t = (1 * -3 + -3t * -3) 3 + 3t = (-3 + 9t) Solving 3 + 3t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 3 + 3t + -9t = -3 + 9t + -9t Combine like terms: 3t + -9t = -6t 3 + -6t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 3 + -6t = -3 + 0 3 + -6t = -3 Add '-3' to each side of the equation. 3 + -3 + -6t = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -6t = -3 + -3 -6t = -3 + -3 Combine like terms: -3 + -3 = -6 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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