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