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Simplifying 4r + 6s + -7(7r + -2s) = 0 4r + 6s + (7r * -7 + -2s * -7) = 0 4r + 6s + (-49r + 14s) = 0 Reorder the terms: 4r + -49r + 6s + 14s = 0 Combine like terms: 4r + -49r = -45r -45r + 6s + 14s = 0 Combine like terms: 6s + 14s = 20s -45r + 20s = 0 Solving -45r + 20s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20s' to each side of the equation. -45r + 20s + -20s = 0 + -20s Combine like terms: 20s + -20s = 0 -45r + 0 = 0 + -20s -45r = 0 + -20s Remove the zero: -45r = -20s Divide each side by '-45'. r = 0.4444444444s Simplifying r = 0.4444444444s
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