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Simplifying 3t + 14 = -16t + -13 Reorder the terms: 14 + 3t = -16t + -13 Reorder the terms: 14 + 3t = -13 + -16t Solving 14 + 3t = -13 + -16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t' to each side of the equation. 14 + 3t + 16t = -13 + -16t + 16t Combine like terms: 3t + 16t = 19t 14 + 19t = -13 + -16t + 16t Combine like terms: -16t + 16t = 0 14 + 19t = -13 + 0 14 + 19t = -13 Add '-14' to each side of the equation. 14 + -14 + 19t = -13 + -14 Combine like terms: 14 + -14 = 0 0 + 19t = -13 + -14 19t = -13 + -14 Combine like terms: -13 + -14 = -27 19t = -27 Divide each side by '19'. t = -1.421052632 Simplifying t = -1.421052632
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