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Simplifying 6(r + 3 + 4s) = 0 Reorder the terms: 6(3 + r + 4s) = 0 (3 * 6 + r * 6 + 4s * 6) = 0 (18 + 6r + 24s) = 0 Solving 18 + 6r + 24s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6r + -18 + 24s = 0 + -18 Reorder the terms: 18 + -18 + 6r + 24s = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6r + 24s = 0 + -18 6r + 24s = 0 + -18 Combine like terms: 0 + -18 = -18 6r + 24s = -18 Add '-24s' to each side of the equation. 6r + 24s + -24s = -18 + -24s Combine like terms: 24s + -24s = 0 6r + 0 = -18 + -24s 6r = -18 + -24s Divide each side by '6'. r = -3 + -4s Simplifying r = -3 + -4s
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