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Simplifying 3t + (2t + -6) = 2 + 14t Reorder the terms: 3t + (-6 + 2t) = 2 + 14t Remove parenthesis around (-6 + 2t) 3t + -6 + 2t = 2 + 14t Reorder the terms: -6 + 3t + 2t = 2 + 14t Combine like terms: 3t + 2t = 5t -6 + 5t = 2 + 14t Solving -6 + 5t = 2 + 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. -6 + 5t + -14t = 2 + 14t + -14t Combine like terms: 5t + -14t = -9t -6 + -9t = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 -6 + -9t = 2 + 0 -6 + -9t = 2 Add '6' to each side of the equation. -6 + 6 + -9t = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -9t = 2 + 6 -9t = 2 + 6 Combine like terms: 2 + 6 = 8 -9t = 8 Divide each side by '-9'. t = -0.8888888889 Simplifying t = -0.8888888889
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