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