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Simplifying 4(3t + -5) = 2(4 + -6t) Reorder the terms: 4(-5 + 3t) = 2(4 + -6t) (-5 * 4 + 3t * 4) = 2(4 + -6t) (-20 + 12t) = 2(4 + -6t) -20 + 12t = (4 * 2 + -6t * 2) -20 + 12t = (8 + -12t) Solving -20 + 12t = 8 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. -20 + 12t + 12t = 8 + -12t + 12t Combine like terms: 12t + 12t = 24t -20 + 24t = 8 + -12t + 12t Combine like terms: -12t + 12t = 0 -20 + 24t = 8 + 0 -20 + 24t = 8 Add '20' to each side of the equation. -20 + 20 + 24t = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 24t = 8 + 20 24t = 8 + 20 Combine like terms: 8 + 20 = 28 24t = 28 Divide each side by '24'. t = 1.166666667 Simplifying t = 1.166666667
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