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Simplifying 6(3t + -2) + -5(2u + 1) = 27 Reorder the terms: 6(-2 + 3t) + -5(2u + 1) = 27 (-2 * 6 + 3t * 6) + -5(2u + 1) = 27 (-12 + 18t) + -5(2u + 1) = 27 Reorder the terms: -12 + 18t + -5(1 + 2u) = 27 -12 + 18t + (1 * -5 + 2u * -5) = 27 -12 + 18t + (-5 + -10u) = 27 Reorder the terms: -12 + -5 + 18t + -10u = 27 Combine like terms: -12 + -5 = -17 -17 + 18t + -10u = 27 Solving -17 + 18t + -10u = 27 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 18t + 17 + -10u = 27 + 17 Reorder the terms: -17 + 17 + 18t + -10u = 27 + 17 Combine like terms: -17 + 17 = 0 0 + 18t + -10u = 27 + 17 18t + -10u = 27 + 17 Combine like terms: 27 + 17 = 44 18t + -10u = 44 Add '10u' to each side of the equation. 18t + -10u + 10u = 44 + 10u Combine like terms: -10u + 10u = 0 18t + 0 = 44 + 10u 18t = 44 + 10u Divide each side by '18'. t = 2.444444444 + 0.5555555556u Simplifying t = 2.444444444 + 0.5555555556u
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