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Simplifying 3r + 4s + -6(4r + -2s) = 0 3r + 4s + (4r * -6 + -2s * -6) = 0 3r + 4s + (-24r + 12s) = 0 Reorder the terms: 3r + -24r + 4s + 12s = 0 Combine like terms: 3r + -24r = -21r -21r + 4s + 12s = 0 Combine like terms: 4s + 12s = 16s -21r + 16s = 0 Solving -21r + 16s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16s' to each side of the equation. -21r + 16s + -16s = 0 + -16s Combine like terms: 16s + -16s = 0 -21r + 0 = 0 + -16s -21r = 0 + -16s Remove the zero: -21r = -16s Divide each side by '-21'. r = 0.7619047619s Simplifying r = 0.7619047619s
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