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Simplifying 3t + 8(2t + -6) = 2 + 24t Reorder the terms: 3t + 8(-6 + 2t) = 2 + 24t 3t + (-6 * 8 + 2t * 8) = 2 + 24t 3t + (-48 + 16t) = 2 + 24t Reorder the terms: -48 + 3t + 16t = 2 + 24t Combine like terms: 3t + 16t = 19t -48 + 19t = 2 + 24t Solving -48 + 19t = 2 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -48 + 19t + -24t = 2 + 24t + -24t Combine like terms: 19t + -24t = -5t -48 + -5t = 2 + 24t + -24t Combine like terms: 24t + -24t = 0 -48 + -5t = 2 + 0 -48 + -5t = 2 Add '48' to each side of the equation. -48 + 48 + -5t = 2 + 48 Combine like terms: -48 + 48 = 0 0 + -5t = 2 + 48 -5t = 2 + 48 Combine like terms: 2 + 48 = 50 -5t = 50 Divide each side by '-5'. t = -10 Simplifying t = -10
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