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Simplifying 3(4t + -5) = 3(3t + -1) Reorder the terms: 3(-5 + 4t) = 3(3t + -1) (-5 * 3 + 4t * 3) = 3(3t + -1) (-15 + 12t) = 3(3t + -1) Reorder the terms: -15 + 12t = 3(-1 + 3t) -15 + 12t = (-1 * 3 + 3t * 3) -15 + 12t = (-3 + 9t) Solving -15 + 12t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -15 + 12t + -9t = -3 + 9t + -9t Combine like terms: 12t + -9t = 3t -15 + 3t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 -15 + 3t = -3 + 0 -15 + 3t = -3 Add '15' to each side of the equation. -15 + 15 + 3t = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 3t = -3 + 15 3t = -3 + 15 Combine like terms: -3 + 15 = 12 3t = 12 Divide each side by '3'. t = 4 Simplifying t = 4
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