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Simplifying 5t + -1t + -8 = 3t + 6 Reorder the terms: -8 + 5t + -1t = 3t + 6 Combine like terms: 5t + -1t = 4t -8 + 4t = 3t + 6 Reorder the terms: -8 + 4t = 6 + 3t Solving -8 + 4t = 6 + 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 = 6 + 3t + -3t Combine like terms: 4t + -3t = 1t -8 + 1t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 1t = 6 + 0 -8 + 1t = 6 Add '8' to each side of the equation. -8 + 8 + 1t = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = 6 + 8 1t = 6 + 8 Combine like terms: 6 + 8 = 14 1t = 14 Divide each side by '1'. t = 14 Simplifying t = 14
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