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Simplifying 5t + -10 + -16t + -4 = 4 + -30t + 16 Reorder the terms: -10 + -4 + 5t + -16t = 4 + -30t + 16 Combine like terms: -10 + -4 = -14 -14 + 5t + -16t = 4 + -30t + 16 Combine like terms: 5t + -16t = -11t -14 + -11t = 4 + -30t + 16 Reorder the terms: -14 + -11t = 4 + 16 + -30t Combine like terms: 4 + 16 = 20 -14 + -11t = 20 + -30t Solving -14 + -11t = 20 + -30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30t' to each side of the equation. -14 + -11t + 30t = 20 + -30t + 30t Combine like terms: -11t + 30t = 19t -14 + 19t = 20 + -30t + 30t Combine like terms: -30t + 30t = 0 -14 + 19t = 20 + 0 -14 + 19t = 20 Add '14' to each side of the equation. -14 + 14 + 19t = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 19t = 20 + 14 19t = 20 + 14 Combine like terms: 20 + 14 = 34 19t = 34 Divide each side by '19'. t = 1.789473684 Simplifying t = 1.789473684
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