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Simplifying 7r + -7s + -2(4r + -4s) = 0 7r + -7s + (4r * -2 + -4s * -2) = 0 7r + -7s + (-8r + 8s) = 0 Reorder the terms: 7r + -8r + -7s + 8s = 0 Combine like terms: 7r + -8r = -1r -1r + -7s + 8s = 0 Combine like terms: -7s + 8s = 1s -1r + 1s = 0 Solving -1r + 1s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1s' to each side of the equation. -1r + 1s + -1s = 0 + -1s Combine like terms: 1s + -1s = 0 -1r + 0 = 0 + -1s -1r = 0 + -1s Remove the zero: -1r = -1s Divide each side by '-1'. r = s Simplifying r = s
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