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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 = 21t -12 + 21t = 12(2t + -5) Reorder the terms: -12 + 21t = 12(-5 + 2t) -12 + 21t = (-5 * 12 + 2t * 12) -12 + 21t = (-60 + 24t) Solving -12 + 21t = -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 + 21t + -24t = -60 + 24t + -24t Combine like terms: 21t + -24t = -3t -12 + -3t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 -12 + -3t = -60 + 0 -12 + -3t = -60 Add '12' to each side of the equation. -12 + 12 + -3t = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = -60 + 12 -3t = -60 + 12 Combine like terms: -60 + 12 = -48 -3t = -48 Divide each side by '-3'. t = 16 Simplifying t = 16
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