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Simplifying 5t + 3r + 9t + -10r + -8 = 0 Reorder the terms: -8 + 3r + -10r + 5t + 9t = 0 Combine like terms: 3r + -10r = -7r -8 + -7r + 5t + 9t = 0 Combine like terms: 5t + 9t = 14t -8 + -7r + 14t = 0 Solving -8 + -7r + 14t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -7r + 8 + 14t = 0 + 8 Reorder the terms: -8 + 8 + -7r + 14t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7r + 14t = 0 + 8 -7r + 14t = 0 + 8 Combine like terms: 0 + 8 = 8 -7r + 14t = 8 Add '-14t' to each side of the equation. -7r + 14t + -14t = 8 + -14t Combine like terms: 14t + -14t = 0 -7r + 0 = 8 + -14t -7r = 8 + -14t Divide each side by '-7'. r = -1.142857143 + 2t Simplifying r = -1.142857143 + 2t
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