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Simplifying 7t + -8 = 4t + 10 Reorder the terms: -8 + 7t = 4t + 10 Reorder the terms: -8 + 7t = 10 + 4t Solving -8 + 7t = 10 + 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. -8 + 7t + -4t = 10 + 4t + -4t Combine like terms: 7t + -4t = 3t -8 + 3t = 10 + 4t + -4t Combine like terms: 4t + -4t = 0 -8 + 3t = 10 + 0 -8 + 3t = 10 Add '8' to each side of the equation. -8 + 8 + 3t = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3t = 10 + 8 3t = 10 + 8 Combine like terms: 10 + 8 = 18 3t = 18 Divide each side by '3'. t = 6 Simplifying t = 6
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