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Simplifying -3(4t + 3) = 2(2 + -4t) + -5 Reorder the terms: -3(3 + 4t) = 2(2 + -4t) + -5 (3 * -3 + 4t * -3) = 2(2 + -4t) + -5 (-9 + -12t) = 2(2 + -4t) + -5 -9 + -12t = (2 * 2 + -4t * 2) + -5 -9 + -12t = (4 + -8t) + -5 Reorder the terms: -9 + -12t = 4 + -5 + -8t Combine like terms: 4 + -5 = -1 -9 + -12t = -1 + -8t Solving -9 + -12t = -1 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. -9 + -12t + 8t = -1 + -8t + 8t Combine like terms: -12t + 8t = -4t -9 + -4t = -1 + -8t + 8t Combine like terms: -8t + 8t = 0 -9 + -4t = -1 + 0 -9 + -4t = -1 Add '9' to each side of the equation. -9 + 9 + -4t = -1 + 9 Combine like terms: -9 + 9 = 0 0 + -4t = -1 + 9 -4t = -1 + 9 Combine like terms: -1 + 9 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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