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Simplifying 13(r + 3 + 7s) = 0 Reorder the terms: 13(3 + r + 7s) = 0 (3 * 13 + r * 13 + 7s * 13) = 0 (39 + 13r + 91s) = 0 Solving 39 + 13r + 91s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + 13r + -39 + 91s = 0 + -39 Reorder the terms: 39 + -39 + 13r + 91s = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 13r + 91s = 0 + -39 13r + 91s = 0 + -39 Combine like terms: 0 + -39 = -39 13r + 91s = -39 Add '-91s' to each side of the equation. 13r + 91s + -91s = -39 + -91s Combine like terms: 91s + -91s = 0 13r + 0 = -39 + -91s 13r = -39 + -91s Divide each side by '13'. r = -3 + -7s Simplifying r = -3 + -7s
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