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Simplifying 4r + 7s + -4(5r + -7s) = 0 4r + 7s + (5r * -4 + -7s * -4) = 0 4r + 7s + (-20r + 28s) = 0 Reorder the terms: 4r + -20r + 7s + 28s = 0 Combine like terms: 4r + -20r = -16r -16r + 7s + 28s = 0 Combine like terms: 7s + 28s = 35s -16r + 35s = 0 Solving -16r + 35s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35s' to each side of the equation. -16r + 35s + -35s = 0 + -35s Combine like terms: 35s + -35s = 0 -16r + 0 = 0 + -35s -16r = 0 + -35s Remove the zero: -16r = -35s Divide each side by '-16'. r = 2.1875s Simplifying r = 2.1875s
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