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Simplifying 5t + -3t + -2 + 6 = 2t + 3t + -4 + -1t Reorder the terms: -2 + 6 + 5t + -3t = 2t + 3t + -4 + -1t Combine like terms: -2 + 6 = 4 4 + 5t + -3t = 2t + 3t + -4 + -1t Combine like terms: 5t + -3t = 2t 4 + 2t = 2t + 3t + -4 + -1t Reorder the terms: 4 + 2t = -4 + 2t + 3t + -1t Combine like terms: 2t + 3t = 5t 4 + 2t = -4 + 5t + -1t Combine like terms: 5t + -1t = 4t 4 + 2t = -4 + 4t Solving 4 + 2t = -4 + 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. 4 + 2t + -4t = -4 + 4t + -4t Combine like terms: 2t + -4t = -2t 4 + -2t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 4 + -2t = -4 + 0 4 + -2t = -4 Add '-4' to each side of the equation. 4 + -4 + -2t = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = -4 + -4 -2t = -4 + -4 Combine like terms: -4 + -4 = -8 -2t = -8 Divide each side by '-2'. t = 4 Simplifying t = 4
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