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Simplifying 4 + 13t + -1 = 9t + 14 + -7t Reorder the terms: 4 + -1 + 13t = 9t + 14 + -7t Combine like terms: 4 + -1 = 3 3 + 13t = 9t + 14 + -7t Reorder the terms: 3 + 13t = 14 + 9t + -7t Combine like terms: 9t + -7t = 2t 3 + 13t = 14 + 2t Solving 3 + 13t = 14 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 3 + 13t + -2t = 14 + 2t + -2t Combine like terms: 13t + -2t = 11t 3 + 11t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 11t = 14 + 0 3 + 11t = 14 Add '-3' to each side of the equation. 3 + -3 + 11t = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 11t = 14 + -3 11t = 14 + -3 Combine like terms: 14 + -3 = 11 11t = 11 Divide each side by '11'. t = 1 Simplifying t = 1
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