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Simplifying 6t + 395t + -4 = 12(2t + -5) Reorder the terms: -4 + 6t + 395t = 12(2t + -5) Combine like terms: 6t + 395t = 401t -4 + 401t = 12(2t + -5) Reorder the terms: -4 + 401t = 12(-5 + 2t) -4 + 401t = (-5 * 12 + 2t * 12) -4 + 401t = (-60 + 24t) Solving -4 + 401t = -60 + 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. -4 + 401t + -24t = -60 + 24t + -24t Combine like terms: 401t + -24t = 377t -4 + 377t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 -4 + 377t = -60 + 0 -4 + 377t = -60 Add '4' to each side of the equation. -4 + 4 + 377t = -60 + 4 Combine like terms: -4 + 4 = 0 0 + 377t = -60 + 4 377t = -60 + 4 Combine like terms: -60 + 4 = -56 377t = -56 Divide each side by '377'. t = -0.1485411141 Simplifying t = -0.1485411141
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