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Simplifying 5t + 3r + 9t + -10r = 0 Reorder the terms: 3r + -10r + 5t + 9t = 0 Combine like terms: 3r + -10r = -7r -7r + 5t + 9t = 0 Combine like terms: 5t + 9t = 14t -7r + 14t = 0 Solving -7r + 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. -7r + 14t + -14t = 0 + -14t Combine like terms: 14t + -14t = 0 -7r + 0 = 0 + -14t -7r = 0 + -14t Remove the zero: -7r = -14t Divide each side by '-7'. r = 2t Simplifying r = 2t
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