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Simplifying 3r + 4s + -1(7 + -1rs + -6rs) = 0 Combine like terms: -1rs + -6rs = -7rs 3r + 4s + -1(7 + -7rs) = 0 3r + 4s + (7 * -1 + -7rs * -1) = 0 3r + 4s + (-7 + 7rs) = 0 Reorder the terms: -7 + 3r + 7rs + 4s = 0 Solving -7 + 3r + 7rs + 4s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3r + 7rs + 7 + 4s = 0 + 7 Reorder the terms: -7 + 7 + 3r + 7rs + 4s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3r + 7rs + 4s = 0 + 7 3r + 7rs + 4s = 0 + 7 Combine like terms: 0 + 7 = 7 3r + 7rs + 4s = 7 Add '-4s' to each side of the equation. 3r + 7rs + 4s + -4s = 7 + -4s Combine like terms: 4s + -4s = 0 3r + 7rs + 0 = 7 + -4s 3r + 7rs = 7 + -4s Reorder the terms: -7 + 3r + 7rs + 4s = 7 + -4s + -7 + 4s Reorder the terms: -7 + 3r + 7rs + 4s = 7 + -7 + -4s + 4s Combine like terms: 7 + -7 = 0 -7 + 3r + 7rs + 4s = 0 + -4s + 4s -7 + 3r + 7rs + 4s = -4s + 4s Combine like terms: -4s + 4s = 0 -7 + 3r + 7rs + 4s = 0 The solution to this equation could not be determined.
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