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Simplifying 5r + -7s + 3r + -10s = 0 Reorder the terms: 5r + 3r + -7s + -10s = 0 Combine like terms: 5r + 3r = 8r 8r + -7s + -10s = 0 Combine like terms: -7s + -10s = -17s 8r + -17s = 0 Solving 8r + -17s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17s' to each side of the equation. 8r + -17s + 17s = 0 + 17s Combine like terms: -17s + 17s = 0 8r + 0 = 0 + 17s 8r = 0 + 17s Remove the zero: 8r = 17s Divide each side by '8'. r = 2.125s Simplifying r = 2.125s
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