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Simplifying 9t + -5r + (3r + 6t) = 0 Remove parenthesis around (3r + 6t) 9t + -5r + 3r + 6t = 0 Reorder the terms: -5r + 3r + 9t + 6t = 0 Combine like terms: -5r + 3r = -2r -2r + 9t + 6t = 0 Combine like terms: 9t + 6t = 15t -2r + 15t = 0 Solving -2r + 15t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15t' to each side of the equation. -2r + 15t + -15t = 0 + -15t Combine like terms: 15t + -15t = 0 -2r + 0 = 0 + -15t -2r = 0 + -15t Remove the zero: -2r = -15t Divide each side by '-2'. r = 7.5t Simplifying r = 7.5t
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