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Simplifying 7r + 7s + -7(4r + -5s) = 0 7r + 7s + (4r * -7 + -5s * -7) = 0 7r + 7s + (-28r + 35s) = 0 Reorder the terms: 7r + -28r + 7s + 35s = 0 Combine like terms: 7r + -28r = -21r -21r + 7s + 35s = 0 Combine like terms: 7s + 35s = 42s -21r + 42s = 0 Solving -21r + 42s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42s' to each side of the equation. -21r + 42s + -42s = 0 + -42s Combine like terms: 42s + -42s = 0 -21r + 0 = 0 + -42s -21r = 0 + -42s Remove the zero: -21r = -42s Divide each side by '-21'. r = 2s Simplifying r = 2s
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