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Simplifying 3r + 7s + -3(5r + -5s) = 0 3r + 7s + (5r * -3 + -5s * -3) = 0 3r + 7s + (-15r + 15s) = 0 Reorder the terms: 3r + -15r + 7s + 15s = 0 Combine like terms: 3r + -15r = -12r -12r + 7s + 15s = 0 Combine like terms: 7s + 15s = 22s -12r + 22s = 0 Solving -12r + 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. -12r + 22s + -22s = 0 + -22s Combine like terms: 22s + -22s = 0 -12r + 0 = 0 + -22s -12r = 0 + -22s Remove the zero: -12r = -22s Divide each side by '-12'. r = 1.833333333s Simplifying r = 1.833333333s
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