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Simplifying 2(t + -1) + -3(2t + -3) = 9 + -5(6t + 1) Reorder the terms: 2(-1 + t) + -3(2t + -3) = 9 + -5(6t + 1) (-1 * 2 + t * 2) + -3(2t + -3) = 9 + -5(6t + 1) (-2 + 2t) + -3(2t + -3) = 9 + -5(6t + 1) Reorder the terms: -2 + 2t + -3(-3 + 2t) = 9 + -5(6t + 1) -2 + 2t + (-3 * -3 + 2t * -3) = 9 + -5(6t + 1) -2 + 2t + (9 + -6t) = 9 + -5(6t + 1) Reorder the terms: -2 + 9 + 2t + -6t = 9 + -5(6t + 1) Combine like terms: -2 + 9 = 7 7 + 2t + -6t = 9 + -5(6t + 1) Combine like terms: 2t + -6t = -4t 7 + -4t = 9 + -5(6t + 1) Reorder the terms: 7 + -4t = 9 + -5(1 + 6t) 7 + -4t = 9 + (1 * -5 + 6t * -5) 7 + -4t = 9 + (-5 + -30t) Combine like terms: 9 + -5 = 4 7 + -4t = 4 + -30t Solving 7 + -4t = 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. 7 + -4t + 30t = 4 + -30t + 30t Combine like terms: -4t + 30t = 26t 7 + 26t = 4 + -30t + 30t Combine like terms: -30t + 30t = 0 7 + 26t = 4 + 0 7 + 26t = 4 Add '-7' to each side of the equation. 7 + -7 + 26t = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 26t = 4 + -7 26t = 4 + -7 Combine like terms: 4 + -7 = -3 26t = -3 Divide each side by '26'. t = -0.1153846154 Simplifying t = -0.1153846154
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