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Simplifying 3t + 8(2t + -6) = 2 + 1 Reorder the terms: 3t + 8(-6 + 2t) = 2 + 1 3t + (-6 * 8 + 2t * 8) = 2 + 1 3t + (-48 + 16t) = 2 + 1 Reorder the terms: -48 + 3t + 16t = 2 + 1 Combine like terms: 3t + 16t = 19t -48 + 19t = 2 + 1 Combine like terms: 2 + 1 = 3 -48 + 19t = 3 Solving -48 + 19t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 19t = 3 + 48 Combine like terms: -48 + 48 = 0 0 + 19t = 3 + 48 19t = 3 + 48 Combine like terms: 3 + 48 = 51 19t = 51 Divide each side by '19'. t = 2.684210526 Simplifying t = 2.684210526
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