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Simplifying 6t + -3(5t + -4) = 12(2t + -5) Reorder the terms: 6t + -3(-4 + 5t) = 12(2t + -5) 6t + (-4 * -3 + 5t * -3) = 12(2t + -5) 6t + (12 + -15t) = 12(2t + -5) Reorder the terms: 12 + 6t + -15t = 12(2t + -5) Combine like terms: 6t + -15t = -9t 12 + -9t = 12(2t + -5) Reorder the terms: 12 + -9t = 12(-5 + 2t) 12 + -9t = (-5 * 12 + 2t * 12) 12 + -9t = (-60 + 24t) Solving 12 + -9t = -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. 12 + -9t + -24t = -60 + 24t + -24t Combine like terms: -9t + -24t = -33t 12 + -33t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 12 + -33t = -60 + 0 12 + -33t = -60 Add '-12' to each side of the equation. 12 + -12 + -33t = -60 + -12 Combine like terms: 12 + -12 = 0 0 + -33t = -60 + -12 -33t = -60 + -12 Combine like terms: -60 + -12 = -72 -33t = -72 Divide each side by '-33'. t = 2.181818182 Simplifying t = 2.181818182
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