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Simplifying 6t + 3 = -8t + 17 Reorder the terms: 3 + 6t = -8t + 17 Reorder the terms: 3 + 6t = 17 + -8t Solving 3 + 6t = 17 + -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. 3 + 6t + 8t = 17 + -8t + 8t Combine like terms: 6t + 8t = 14t 3 + 14t = 17 + -8t + 8t Combine like terms: -8t + 8t = 0 3 + 14t = 17 + 0 3 + 14t = 17 Add '-3' to each side of the equation. 3 + -3 + 14t = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 14t = 17 + -3 14t = 17 + -3 Combine like terms: 17 + -3 = 14 14t = 14 Divide each side by '14'. t = 1 Simplifying t = 1
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