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Simplifying 7t + -8 + 4 = 5t + -2 Reorder the terms: -8 + 4 + 7t = 5t + -2 Combine like terms: -8 + 4 = -4 -4 + 7t = 5t + -2 Reorder the terms: -4 + 7t = -2 + 5t Solving -4 + 7t = -2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -4 + 7t + -5t = -2 + 5t + -5t Combine like terms: 7t + -5t = 2t -4 + 2t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 -4 + 2t = -2 + 0 -4 + 2t = -2 Add '4' to each side of the equation. -4 + 4 + 2t = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 2t = -2 + 4 2t = -2 + 4 Combine like terms: -2 + 4 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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