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Simplifying 2r + 6s + -6(7r + -9s) = 0 2r + 6s + (7r * -6 + -9s * -6) = 0 2r + 6s + (-42r + 54s) = 0 Reorder the terms: 2r + -42r + 6s + 54s = 0 Combine like terms: 2r + -42r = -40r -40r + 6s + 54s = 0 Combine like terms: 6s + 54s = 60s -40r + 60s = 0 Solving -40r + 60s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-60s' to each side of the equation. -40r + 60s + -60s = 0 + -60s Combine like terms: 60s + -60s = 0 -40r + 0 = 0 + -60s -40r = 0 + -60s Remove the zero: -40r = -60s Divide each side by '-40'. r = 1.5s Simplifying r = 1.5s
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