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Simplifying -3(t + -1) + 5t = 4t + -2 Reorder the terms: -3(-1 + t) + 5t = 4t + -2 (-1 * -3 + t * -3) + 5t = 4t + -2 (3 + -3t) + 5t = 4t + -2 Combine like terms: -3t + 5t = 2t 3 + 2t = 4t + -2 Reorder the terms: 3 + 2t = -2 + 4t Solving 3 + 2t = -2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 3 + 2t + -4t = -2 + 4t + -4t Combine like terms: 2t + -4t = -2t 3 + -2t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 3 + -2t = -2 + 0 3 + -2t = -2 Add '-3' to each side of the equation. 3 + -3 + -2t = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = -2 + -3 -2t = -2 + -3 Combine like terms: -2 + -3 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5
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