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Simplifying 7r + 21s + -1(4r + -18s) = 0 7r + 21s + (4r * -1 + -18s * -1) = 0 7r + 21s + (-4r + 18s) = 0 Reorder the terms: 7r + -4r + 21s + 18s = 0 Combine like terms: 7r + -4r = 3r 3r + 21s + 18s = 0 Combine like terms: 21s + 18s = 39s 3r + 39s = 0 Solving 3r + 39s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-39s' to each side of the equation. 3r + 39s + -39s = 0 + -39s Combine like terms: 39s + -39s = 0 3r + 0 = 0 + -39s 3r = 0 + -39s Remove the zero: 3r = -39s Divide each side by '3'. r = -13s Simplifying r = -13s
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