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Simplifying 5t + -8 = 14 + 16t + -9 Reorder the terms: -8 + 5t = 14 + 16t + -9 Reorder the terms: -8 + 5t = 14 + -9 + 16t Combine like terms: 14 + -9 = 5 -8 + 5t = 5 + 16t Solving -8 + 5t = 5 + 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. -8 + 5t + -16t = 5 + 16t + -16t Combine like terms: 5t + -16t = -11t -8 + -11t = 5 + 16t + -16t Combine like terms: 16t + -16t = 0 -8 + -11t = 5 + 0 -8 + -11t = 5 Add '8' to each side of the equation. -8 + 8 + -11t = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -11t = 5 + 8 -11t = 5 + 8 Combine like terms: 5 + 8 = 13 -11t = 13 Divide each side by '-11'. t = -1.181818182 Simplifying t = -1.181818182
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