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