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Simplifying 5r + 6s + -2(4r + -3s) = 0 5r + 6s + (4r * -2 + -3s * -2) = 0 5r + 6s + (-8r + 6s) = 0 Reorder the terms: 5r + -8r + 6s + 6s = 0 Combine like terms: 5r + -8r = -3r -3r + 6s + 6s = 0 Combine like terms: 6s + 6s = 12s -3r + 12s = 0 Solving -3r + 12s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12s' to each side of the equation. -3r + 12s + -12s = 0 + -12s Combine like terms: 12s + -12s = 0 -3r + 0 = 0 + -12s -3r = 0 + -12s Remove the zero: -3r = -12s Divide each side by '-3'. r = 4s Simplifying r = 4s
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