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Simplifying 6 + 19t + -3 = 9t + 68 + -3t Reorder the terms: 6 + -3 + 19t = 9t + 68 + -3t Combine like terms: 6 + -3 = 3 3 + 19t = 9t + 68 + -3t Reorder the terms: 3 + 19t = 68 + 9t + -3t Combine like terms: 9t + -3t = 6t 3 + 19t = 68 + 6t Solving 3 + 19t = 68 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 3 + 19t + -6t = 68 + 6t + -6t Combine like terms: 19t + -6t = 13t 3 + 13t = 68 + 6t + -6t Combine like terms: 6t + -6t = 0 3 + 13t = 68 + 0 3 + 13t = 68 Add '-3' to each side of the equation. 3 + -3 + 13t = 68 + -3 Combine like terms: 3 + -3 = 0 0 + 13t = 68 + -3 13t = 68 + -3 Combine like terms: 68 + -3 = 65 13t = 65 Divide each side by '13'. t = 5 Simplifying t = 5
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