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Simplifying 6t + 3(5 + -4) = 12(2t + -5) Combine like terms: 5 + -4 = 1 6t + 3(1) = 12(2t + -5) Multiply 3 * 1 6t + 3 = 12(2t + -5) Reorder the terms: 3 + 6t = 12(2t + -5) Reorder the terms: 3 + 6t = 12(-5 + 2t) 3 + 6t = (-5 * 12 + 2t * 12) 3 + 6t = (-60 + 24t) Solving 3 + 6t = -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. 3 + 6t + -24t = -60 + 24t + -24t Combine like terms: 6t + -24t = -18t 3 + -18t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 3 + -18t = -60 + 0 3 + -18t = -60 Add '-3' to each side of the equation. 3 + -3 + -18t = -60 + -3 Combine like terms: 3 + -3 = 0 0 + -18t = -60 + -3 -18t = -60 + -3 Combine like terms: -60 + -3 = -63 -18t = -63 Divide each side by '-18'. t = 3.5 Simplifying t = 3.5
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