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Simplifying 4(2r + 3s) = 0 (2r * 4 + 3s * 4) = 0 (8r + 12s) = 0 Solving 8r + 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. 8r + 12s + -12s = 0 + -12s Combine like terms: 12s + -12s = 0 8r + 0 = 0 + -12s 8r = 0 + -12s Remove the zero: 8r = -12s Divide each side by '8'. r = -1.5s Simplifying r = -1.5s
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