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Simplifying 9(t + -6) * 6 + 5t = 7(2t + 3) + -10 Reorder the terms: 9(-6 + t) * 6 + 5t = 7(2t + 3) + -10 Reorder the terms for easier multiplication: 9 * 6(-6 + t) + 5t = 7(2t + 3) + -10 Multiply 9 * 6 54(-6 + t) + 5t = 7(2t + 3) + -10 (-6 * 54 + t * 54) + 5t = 7(2t + 3) + -10 (-324 + 54t) + 5t = 7(2t + 3) + -10 Combine like terms: 54t + 5t = 59t -324 + 59t = 7(2t + 3) + -10 Reorder the terms: -324 + 59t = 7(3 + 2t) + -10 -324 + 59t = (3 * 7 + 2t * 7) + -10 -324 + 59t = (21 + 14t) + -10 Reorder the terms: -324 + 59t = 21 + -10 + 14t Combine like terms: 21 + -10 = 11 -324 + 59t = 11 + 14t Solving -324 + 59t = 11 + 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. -324 + 59t + -14t = 11 + 14t + -14t Combine like terms: 59t + -14t = 45t -324 + 45t = 11 + 14t + -14t Combine like terms: 14t + -14t = 0 -324 + 45t = 11 + 0 -324 + 45t = 11 Add '324' to each side of the equation. -324 + 324 + 45t = 11 + 324 Combine like terms: -324 + 324 = 0 0 + 45t = 11 + 324 45t = 11 + 324 Combine like terms: 11 + 324 = 335 45t = 335 Divide each side by '45'. t = 7.444444444 Simplifying t = 7.444444444
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