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Simplifying 3t + 5 + -2t = 3 + -4t + -2 Reorder the terms: 5 + 3t + -2t = 3 + -4t + -2 Combine like terms: 3t + -2t = 1t 5 + 1t = 3 + -4t + -2 Reorder the terms: 5 + 1t = 3 + -2 + -4t Combine like terms: 3 + -2 = 1 5 + 1t = 1 + -4t Solving 5 + 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. 5 + 1t + 4t = 1 + -4t + 4t Combine like terms: 1t + 4t = 5t 5 + 5t = 1 + -4t + 4t Combine like terms: -4t + 4t = 0 5 + 5t = 1 + 0 5 + 5t = 1 Add '-5' to each side of the equation. 5 + -5 + 5t = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 5t = 1 + -5 5t = 1 + -5 Combine like terms: 1 + -5 = -4 5t = -4 Divide each side by '5'. t = -0.8 Simplifying t = -0.8
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