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Simplifying 3(5t + 2) + -1 = 2(t + -3) Reorder the terms: 3(2 + 5t) + -1 = 2(t + -3) (2 * 3 + 5t * 3) + -1 = 2(t + -3) (6 + 15t) + -1 = 2(t + -3) Reorder the terms: 6 + -1 + 15t = 2(t + -3) Combine like terms: 6 + -1 = 5 5 + 15t = 2(t + -3) Reorder the terms: 5 + 15t = 2(-3 + t) 5 + 15t = (-3 * 2 + t * 2) 5 + 15t = (-6 + 2t) Solving 5 + 15t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 5 + 15t + -2t = -6 + 2t + -2t Combine like terms: 15t + -2t = 13t 5 + 13t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 13t = -6 + 0 5 + 13t = -6 Add '-5' to each side of the equation. 5 + -5 + 13t = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 13t = -6 + -5 13t = -6 + -5 Combine like terms: -6 + -5 = -11 13t = -11 Divide each side by '13'. t = -0.8461538462 Simplifying t = -0.8461538462
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