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Simplifying 3t + 8(2t + -6) = 2t + 14t Reorder the terms: 3t + 8(-6 + 2t) = 2t + 14t 3t + (-6 * 8 + 2t * 8) = 2t + 14t 3t + (-48 + 16t) = 2t + 14t Reorder the terms: -48 + 3t + 16t = 2t + 14t Combine like terms: 3t + 16t = 19t -48 + 19t = 2t + 14t Combine like terms: 2t + 14t = 16t -48 + 19t = 16t Solving -48 + 19t = 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. -48 + 19t + -16t = 16t + -16t Combine like terms: 19t + -16t = 3t -48 + 3t = 16t + -16t Combine like terms: 16t + -16t = 0 -48 + 3t = 0 Add '48' to each side of the equation. -48 + 48 + 3t = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 3t = 0 + 48 3t = 0 + 48 Combine like terms: 0 + 48 = 48 3t = 48 Divide each side by '3'. t = 16 Simplifying t = 16
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