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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 = -3s 8r + -3s = 0 Solving 8r + -3s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. 8r + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 8r + 0 = 0 + 3s 8r = 0 + 3s Remove the zero: 8r = 3s Divide each side by '8'. r = 0.375s Simplifying r = 0.375s
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