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Simplifying 5t + 3r + 9t + 10r = 0 Reorder the terms: 3r + 10r + 5t + 9t = 0 Combine like terms: 3r + 10r = 13r 13r + 5t + 9t = 0 Combine like terms: 5t + 9t = 14t 13r + 14t = 0 Solving 13r + 14t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14t' to each side of the equation. 13r + 14t + -14t = 0 + -14t Combine like terms: 14t + -14t = 0 13r + 0 = 0 + -14t 13r = 0 + -14t Remove the zero: 13r = -14t Divide each side by '13'. r = -1.076923077t Simplifying r = -1.076923077t
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