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Simplifying (t + -2) + 8t = 7(2t + 3) + -11 Reorder the terms: (-2 + t) + 8t = 7(2t + 3) + -11 Remove parenthesis around (-2 + t) -2 + t + 8t = 7(2t + 3) + -11 Combine like terms: t + 8t = 9t -2 + 9t = 7(2t + 3) + -11 Reorder the terms: -2 + 9t = 7(3 + 2t) + -11 -2 + 9t = (3 * 7 + 2t * 7) + -11 -2 + 9t = (21 + 14t) + -11 Reorder the terms: -2 + 9t = 21 + -11 + 14t Combine like terms: 21 + -11 = 10 -2 + 9t = 10 + 14t Solving -2 + 9t = 10 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -2 + 9t + -14t = 10 + 14t + -14t Combine like terms: 9t + -14t = -5t -2 + -5t = 10 + 14t + -14t Combine like terms: 14t + -14t = 0 -2 + -5t = 10 + 0 -2 + -5t = 10 Add '2' to each side of the equation. -2 + 2 + -5t = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -5t = 10 + 2 -5t = 10 + 2 Combine like terms: 10 + 2 = 12 -5t = 12 Divide each side by '-5'. t = -2.4 Simplifying t = -2.4

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