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Simplifying 6r(2s + -3) + -1(5s + 12r) = 0 Reorder the terms: 6r(-3 + 2s) + -1(5s + 12r) = 0 (-3 * 6r + 2s * 6r) + -1(5s + 12r) = 0 (-18r + 12rs) + -1(5s + 12r) = 0 Reorder the terms: -18r + 12rs + -1(12r + 5s) = 0 -18r + 12rs + (12r * -1 + 5s * -1) = 0 -18r + 12rs + (-12r + -5s) = 0 Reorder the terms: -18r + -12r + 12rs + -5s = 0 Combine like terms: -18r + -12r = -30r -30r + 12rs + -5s = 0 Solving -30r + 12rs + -5s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5s' to each side of the equation. -30r + 12rs + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 -30r + 12rs + 0 = 0 + 5s -30r + 12rs = 0 + 5s Remove the zero: -30r + 12rs = 5s Combine like terms: 5s + -5s = 0 -30r + 12rs + -5s = 0 The solution to this equation could not be determined.
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