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Simplifying 7r + 2s + -7(5r + -4s) = 0 7r + 2s + (5r * -7 + -4s * -7) = 0 7r + 2s + (-35r + 28s) = 0 Reorder the terms: 7r + -35r + 2s + 28s = 0 Combine like terms: 7r + -35r = -28r -28r + 2s + 28s = 0 Combine like terms: 2s + 28s = 30s -28r + 30s = 0 Solving -28r + 30s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30s' to each side of the equation. -28r + 30s + -30s = 0 + -30s Combine like terms: 30s + -30s = 0 -28r + 0 = 0 + -30s -28r = 0 + -30s Remove the zero: -28r = -30s Divide each side by '-28'. r = 1.071428571s Simplifying r = 1.071428571s
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