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Simplifying 5r + 4s + -3(7r + -6s) = 0 5r + 4s + (7r * -3 + -6s * -3) = 0 5r + 4s + (-21r + 18s) = 0 Reorder the terms: 5r + -21r + 4s + 18s = 0 Combine like terms: 5r + -21r = -16r -16r + 4s + 18s = 0 Combine like terms: 4s + 18s = 22s -16r + 22s = 0 Solving -16r + 22s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22s' to each side of the equation. -16r + 22s + -22s = 0 + -22s Combine like terms: 22s + -22s = 0 -16r + 0 = 0 + -22s -16r = 0 + -22s Remove the zero: -16r = -22s Divide each side by '-16'. r = 1.375s Simplifying r = 1.375s
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