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Simplifying 2(t + -4) = 3 + -1(3t + 1) Reorder the terms: 2(-4 + t) = 3 + -1(3t + 1) (-4 * 2 + t * 2) = 3 + -1(3t + 1) (-8 + 2t) = 3 + -1(3t + 1) Reorder the terms: -8 + 2t = 3 + -1(1 + 3t) -8 + 2t = 3 + (1 * -1 + 3t * -1) -8 + 2t = 3 + (-1 + -3t) Combine like terms: 3 + -1 = 2 -8 + 2t = 2 + -3t Solving -8 + 2t = 2 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -8 + 2t + 3t = 2 + -3t + 3t Combine like terms: 2t + 3t = 5t -8 + 5t = 2 + -3t + 3t Combine like terms: -3t + 3t = 0 -8 + 5t = 2 + 0 -8 + 5t = 2 Add '8' to each side of the equation. -8 + 8 + 5t = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = 2 + 8 5t = 2 + 8 Combine like terms: 2 + 8 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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