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Simplifying 2(t + -1) + -5(3t + -2) = 10 + -6(5t + 1) Reorder the terms: 2(-1 + t) + -5(3t + -2) = 10 + -6(5t + 1) (-1 * 2 + t * 2) + -5(3t + -2) = 10 + -6(5t + 1) (-2 + 2t) + -5(3t + -2) = 10 + -6(5t + 1) Reorder the terms: -2 + 2t + -5(-2 + 3t) = 10 + -6(5t + 1) -2 + 2t + (-2 * -5 + 3t * -5) = 10 + -6(5t + 1) -2 + 2t + (10 + -15t) = 10 + -6(5t + 1) Reorder the terms: -2 + 10 + 2t + -15t = 10 + -6(5t + 1) Combine like terms: -2 + 10 = 8 8 + 2t + -15t = 10 + -6(5t + 1) Combine like terms: 2t + -15t = -13t 8 + -13t = 10 + -6(5t + 1) Reorder the terms: 8 + -13t = 10 + -6(1 + 5t) 8 + -13t = 10 + (1 * -6 + 5t * -6) 8 + -13t = 10 + (-6 + -30t) Combine like terms: 10 + -6 = 4 8 + -13t = 4 + -30t Solving 8 + -13t = 4 + -30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30t' to each side of the equation. 8 + -13t + 30t = 4 + -30t + 30t Combine like terms: -13t + 30t = 17t 8 + 17t = 4 + -30t + 30t Combine like terms: -30t + 30t = 0 8 + 17t = 4 + 0 8 + 17t = 4 Add '-8' to each side of the equation. 8 + -8 + 17t = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 17t = 4 + -8 17t = 4 + -8 Combine like terms: 4 + -8 = -4 17t = -4 Divide each side by '17'. t = -0.2352941176 Simplifying t = -0.2352941176
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