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Simplifying 2v + 8(2t + -6) = 2 + 14t Reorder the terms: 2v + 8(-6 + 2t) = 2 + 14t 2v + (-6 * 8 + 2t * 8) = 2 + 14t 2v + (-48 + 16t) = 2 + 14t Reorder the terms: -48 + 16t + 2v = 2 + 14t Solving -48 + 16t + 2v = 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. -48 + 16t + -14t + 2v = 2 + 14t + -14t Combine like terms: 16t + -14t = 2t -48 + 2t + 2v = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 -48 + 2t + 2v = 2 + 0 -48 + 2t + 2v = 2 Add '48' to each side of the equation. -48 + 2t + 48 + 2v = 2 + 48 Reorder the terms: -48 + 48 + 2t + 2v = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 2t + 2v = 2 + 48 2t + 2v = 2 + 48 Combine like terms: 2 + 48 = 50 2t + 2v = 50 Add '-2v' to each side of the equation. 2t + 2v + -2v = 50 + -2v Combine like terms: 2v + -2v = 0 2t + 0 = 50 + -2v 2t = 50 + -2v Divide each side by '2'. t = 25 + -1v Simplifying t = 25 + -1v
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