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Simplifying 7(2r + -3s) + 9r + 5s = 0 (2r * 7 + -3s * 7) + 9r + 5s = 0 (14r + -21s) + 9r + 5s = 0 Reorder the terms: 14r + 9r + -21s + 5s = 0 Combine like terms: 14r + 9r = 23r 23r + -21s + 5s = 0 Combine like terms: -21s + 5s = -16s 23r + -16s = 0 Solving 23r + -16s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16s' to each side of the equation. 23r + -16s + 16s = 0 + 16s Combine like terms: -16s + 16s = 0 23r + 0 = 0 + 16s 23r = 0 + 16s Remove the zero: 23r = 16s Divide each side by '23'. r = 0.6956521739s Simplifying r = 0.6956521739s
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