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Simplifying 7t + -8 = 3t + 7 Reorder the terms: -8 + 7t = 3t + 7 Reorder the terms: -8 + 7t = 7 + 3t Solving -8 + 7t = 7 + 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 + 7t + -3t = 7 + 3t + -3t Combine like terms: 7t + -3t = 4t -8 + 4t = 7 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 4t = 7 + 0 -8 + 4t = 7 Add '8' to each side of the equation. -8 + 8 + 4t = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 4t = 7 + 8 4t = 7 + 8 Combine like terms: 7 + 8 = 15 4t = 15 Divide each side by '4'. t = 3.75 Simplifying t = 3.75
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