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Simplifying (7t + -2) + -1(3t + -1) = (-1 + -6t) Reorder the terms: (-2 + 7t) + -1(3t + -1) = (-1 + -6t) Remove parenthesis around (-2 + 7t) -2 + 7t + -1(3t + -1) = (-1 + -6t) Reorder the terms: -2 + 7t + -1(-1 + 3t) = (-1 + -6t) -2 + 7t + (-1 * -1 + 3t * -1) = (-1 + -6t) -2 + 7t + (1 + -3t) = (-1 + -6t) Reorder the terms: -2 + 1 + 7t + -3t = (-1 + -6t) Combine like terms: -2 + 1 = -1 -1 + 7t + -3t = (-1 + -6t) Combine like terms: 7t + -3t = 4t -1 + 4t = (-1 + -6t) Remove parenthesis around (-1 + -6t) -1 + 4t = -1 + -6t Add '1' to each side of the equation. -1 + 1 + 4t = -1 + 1 + -6t Combine like terms: -1 + 1 = 0 0 + 4t = -1 + 1 + -6t 4t = -1 + 1 + -6t Combine like terms: -1 + 1 = 0 4t = 0 + -6t 4t = -6t Solving 4t = -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 4t + 6t = -6t + 6t Combine like terms: 4t + 6t = 10t 10t = -6t + 6t Combine like terms: -6t + 6t = 0 10t = 0 Divide each side by '10'. t = 0.0 Simplifying t = 0.0
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