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Simplifying -6r + -10s + 8r + 4s + -6 = 0 Reorder the terms: -6 + -6r + 8r + -10s + 4s = 0 Combine like terms: -6r + 8r = 2r -6 + 2r + -10s + 4s = 0 Combine like terms: -10s + 4s = -6s -6 + 2r + -6s = 0 Solving -6 + 2r + -6s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2r + 6 + -6s = 0 + 6 Reorder the terms: -6 + 6 + 2r + -6s = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2r + -6s = 0 + 6 2r + -6s = 0 + 6 Combine like terms: 0 + 6 = 6 2r + -6s = 6 Add '6s' to each side of the equation. 2r + -6s + 6s = 6 + 6s Combine like terms: -6s + 6s = 0 2r + 0 = 6 + 6s 2r = 6 + 6s Divide each side by '2'. r = 3 + 3s Simplifying r = 3 + 3s
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