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Simplifying -9(t + -3) + -2(2t + 1) = -14 Reorder the terms: -9(-3 + t) + -2(2t + 1) = -14 (-3 * -9 + t * -9) + -2(2t + 1) = -14 (27 + -9t) + -2(2t + 1) = -14 Reorder the terms: 27 + -9t + -2(1 + 2t) = -14 27 + -9t + (1 * -2 + 2t * -2) = -14 27 + -9t + (-2 + -4t) = -14 Reorder the terms: 27 + -2 + -9t + -4t = -14 Combine like terms: 27 + -2 = 25 25 + -9t + -4t = -14 Combine like terms: -9t + -4t = -13t 25 + -13t = -14 Solving 25 + -13t = -14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -13t = -14 + -25 Combine like terms: 25 + -25 = 0 0 + -13t = -14 + -25 -13t = -14 + -25 Combine like terms: -14 + -25 = -39 -13t = -39 Divide each side by '-13'. t = 3 Simplifying t = 3
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