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Simplifying (6t + -3) + (7t + 14) = 0 Reorder the terms: (-3 + 6t) + (7t + 14) = 0 Remove parenthesis around (-3 + 6t) -3 + 6t + (7t + 14) = 0 Reorder the terms: -3 + 6t + (14 + 7t) = 0 Remove parenthesis around (14 + 7t) -3 + 6t + 14 + 7t = 0 Reorder the terms: -3 + 14 + 6t + 7t = 0 Combine like terms: -3 + 14 = 11 11 + 6t + 7t = 0 Combine like terms: 6t + 7t = 13t 11 + 13t = 0 Solving 11 + 13t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 13t = 0 + -11 13t = 0 + -11 Combine like terms: 0 + -11 = -11 13t = -11 Divide each side by '13'. t = -0.8461538462 Simplifying t = -0.8461538462
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