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Simplifying 4(r + 1 + 5s) = 0 Reorder the terms: 4(1 + r + 5s) = 0 (1 * 4 + r * 4 + 5s * 4) = 0 (4 + 4r + 20s) = 0 Solving 4 + 4r + 20s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4r + -4 + 20s = 0 + -4 Reorder the terms: 4 + -4 + 4r + 20s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4r + 20s = 0 + -4 4r + 20s = 0 + -4 Combine like terms: 0 + -4 = -4 4r + 20s = -4 Add '-20s' to each side of the equation. 4r + 20s + -20s = -4 + -20s Combine like terms: 20s + -20s = 0 4r + 0 = -4 + -20s 4r = -4 + -20s Divide each side by '4'. r = -1 + -5s Simplifying r = -1 + -5s
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