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Simplifying 5s + 2r + 6 + -3r + -2 = 0 Reorder the terms: 6 + -2 + 2r + -3r + 5s = 0 Combine like terms: 6 + -2 = 4 4 + 2r + -3r + 5s = 0 Combine like terms: 2r + -3r = -1r 4 + -1r + 5s = 0 Solving 4 + -1r + 5s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1r + -4 + 5s = 0 + -4 Reorder the terms: 4 + -4 + -1r + 5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r + 5s = 0 + -4 -1r + 5s = 0 + -4 Combine like terms: 0 + -4 = -4 -1r + 5s = -4 Add '-5s' to each side of the equation. -1r + 5s + -5s = -4 + -5s Combine like terms: 5s + -5s = 0 -1r + 0 = -4 + -5s -1r = -4 + -5s Divide each side by '-1'. r = 4 + 5s Simplifying r = 4 + 5s
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