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Simplifying -2(t + 3) + -2(5t + -9) = -13(t + -3) + 2 Reorder the terms: -2(3 + t) + -2(5t + -9) = -13(t + -3) + 2 (3 * -2 + t * -2) + -2(5t + -9) = -13(t + -3) + 2 (-6 + -2t) + -2(5t + -9) = -13(t + -3) + 2 Reorder the terms: -6 + -2t + -2(-9 + 5t) = -13(t + -3) + 2 -6 + -2t + (-9 * -2 + 5t * -2) = -13(t + -3) + 2 -6 + -2t + (18 + -10t) = -13(t + -3) + 2 Reorder the terms: -6 + 18 + -2t + -10t = -13(t + -3) + 2 Combine like terms: -6 + 18 = 12 12 + -2t + -10t = -13(t + -3) + 2 Combine like terms: -2t + -10t = -12t 12 + -12t = -13(t + -3) + 2 Reorder the terms: 12 + -12t = -13(-3 + t) + 2 12 + -12t = (-3 * -13 + t * -13) + 2 12 + -12t = (39 + -13t) + 2 Reorder the terms: 12 + -12t = 39 + 2 + -13t Combine like terms: 39 + 2 = 41 12 + -12t = 41 + -13t Solving 12 + -12t = 41 + -13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13t' to each side of the equation. 12 + -12t + 13t = 41 + -13t + 13t Combine like terms: -12t + 13t = 1t 12 + 1t = 41 + -13t + 13t Combine like terms: -13t + 13t = 0 12 + 1t = 41 + 0 12 + 1t = 41 Add '-12' to each side of the equation. 12 + -12 + 1t = 41 + -12 Combine like terms: 12 + -12 = 0 0 + 1t = 41 + -12 1t = 41 + -12 Combine like terms: 41 + -12 = 29 1t = 29 Divide each side by '1'. t = 29 Simplifying t = 29
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