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Simplifying 7t + 14r + 10(6t + -5r) = 0 Reorder the terms: 7t + 14r + 10(-5r + 6t) = 0 7t + 14r + (-5r * 10 + 6t * 10) = 0 7t + 14r + (-50r + 60t) = 0 Reorder the terms: 14r + -50r + 7t + 60t = 0 Combine like terms: 14r + -50r = -36r -36r + 7t + 60t = 0 Combine like terms: 7t + 60t = 67t -36r + 67t = 0 Solving -36r + 67t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-67t' to each side of the equation. -36r + 67t + -67t = 0 + -67t Combine like terms: 67t + -67t = 0 -36r + 0 = 0 + -67t -36r = 0 + -67t Remove the zero: -36r = -67t Divide each side by '-36'. r = 1.861111111t Simplifying r = 1.861111111t
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