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