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Simplifying 6t + (5t + -4) = 12(2t + -5) Reorder the terms: 6t + (-4 + 5t) = 12(2t + -5) Remove parenthesis around (-4 + 5t) 6t + -4 + 5t = 12(2t + -5) Reorder the terms: -4 + 6t + 5t = 12(2t + -5) Combine like terms: 6t + 5t = 11t -4 + 11t = 12(2t + -5) Reorder the terms: -4 + 11t = 12(-5 + 2t) -4 + 11t = (-5 * 12 + 2t * 12) -4 + 11t = (-60 + 24t) Solving -4 + 11t = -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 + 11t + -24t = -60 + 24t + -24t Combine like terms: 11t + -24t = -13t -4 + -13t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 -4 + -13t = -60 + 0 -4 + -13t = -60 Add '4' to each side of the equation. -4 + 4 + -13t = -60 + 4 Combine like terms: -4 + 4 = 0 0 + -13t = -60 + 4 -13t = -60 + 4 Combine like terms: -60 + 4 = -56 -13t = -56 Divide each side by '-13'. t = 4.307692308 Simplifying t = 4.307692308
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