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Simplifying 5(y + -5r) + 4(r + 6y) = 0 Reorder the terms: 5(-5r + y) + 4(r + 6y) = 0 (-5r * 5 + y * 5) + 4(r + 6y) = 0 (-25r + 5y) + 4(r + 6y) = 0 -25r + 5y + (r * 4 + 6y * 4) = 0 -25r + 5y + (4r + 24y) = 0 Reorder the terms: -25r + 4r + 5y + 24y = 0 Combine like terms: -25r + 4r = -21r -21r + 5y + 24y = 0 Combine like terms: 5y + 24y = 29y -21r + 29y = 0 Solving -21r + 29y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-29y' to each side of the equation. -21r + 29y + -29y = 0 + -29y Combine like terms: 29y + -29y = 0 -21r + 0 = 0 + -29y -21r = 0 + -29y Remove the zero: -21r = -29y Divide each side by '-21'. r = 1.380952381y Simplifying r = 1.380952381y
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