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Simplifying 7t + -2 = 5t + -8 + 3t Reorder the terms: -2 + 7t = 5t + -8 + 3t Reorder the terms: -2 + 7t = -8 + 5t + 3t Combine like terms: 5t + 3t = 8t -2 + 7t = -8 + 8t Solving -2 + 7t = -8 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -2 + 7t + -8t = -8 + 8t + -8t Combine like terms: 7t + -8t = -1t -2 + -1t = -8 + 8t + -8t Combine like terms: 8t + -8t = 0 -2 + -1t = -8 + 0 -2 + -1t = -8 Add '2' to each side of the equation. -2 + 2 + -1t = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = -8 + 2 -1t = -8 + 2 Combine like terms: -8 + 2 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6
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