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Simplifying 5t + -1t + -8 = 3t + -5 Reorder the terms: -8 + 5t + -1t = 3t + -5 Combine like terms: 5t + -1t = 4t -8 + 4t = 3t + -5 Reorder the terms: -8 + 4t = -5 + 3t Solving -8 + 4t = -5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -8 + 4t + -3t = -5 + 3t + -3t Combine like terms: 4t + -3t = 1t -8 + 1t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 1t = -5 + 0 -8 + 1t = -5 Add '8' to each side of the equation. -8 + 8 + 1t = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = -5 + 8 1t = -5 + 8 Combine like terms: -5 + 8 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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