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Simplifying 5r + 3s + -3(7r + -9s) = 0 5r + 3s + (7r * -3 + -9s * -3) = 0 5r + 3s + (-21r + 27s) = 0 Reorder the terms: 5r + -21r + 3s + 27s = 0 Combine like terms: 5r + -21r = -16r -16r + 3s + 27s = 0 Combine like terms: 3s + 27s = 30s -16r + 30s = 0 Solving -16r + 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. -16r + 30s + -30s = 0 + -30s Combine like terms: 30s + -30s = 0 -16r + 0 = 0 + -30s -16r = 0 + -30s Remove the zero: -16r = -30s Divide each side by '-16'. r = 1.875s Simplifying r = 1.875s
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