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Simplifying 9(t + -3) + 5t = 7(2t + 3) * 11 Reorder the terms: 9(-3 + t) + 5t = 7(2t + 3) * 11 (-3 * 9 + t * 9) + 5t = 7(2t + 3) * 11 (-27 + 9t) + 5t = 7(2t + 3) * 11 Combine like terms: 9t + 5t = 14t -27 + 14t = 7(2t + 3) * 11 Reorder the terms: -27 + 14t = 7(3 + 2t) * 11 Reorder the terms for easier multiplication: -27 + 14t = 7 * 11(3 + 2t) Multiply 7 * 11 -27 + 14t = 77(3 + 2t) -27 + 14t = (3 * 77 + 2t * 77) -27 + 14t = (231 + 154t) Solving -27 + 14t = 231 + 154t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-154t' to each side of the equation. -27 + 14t + -154t = 231 + 154t + -154t Combine like terms: 14t + -154t = -140t -27 + -140t = 231 + 154t + -154t Combine like terms: 154t + -154t = 0 -27 + -140t = 231 + 0 -27 + -140t = 231 Add '27' to each side of the equation. -27 + 27 + -140t = 231 + 27 Combine like terms: -27 + 27 = 0 0 + -140t = 231 + 27 -140t = 231 + 27 Combine like terms: 231 + 27 = 258 -140t = 258 Divide each side by '-140'. t = -1.842857143 Simplifying t = -1.842857143
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