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Simplifying 9r + 8s + -5(8r + -5s) = 0 9r + 8s + (8r * -5 + -5s * -5) = 0 9r + 8s + (-40r + 25s) = 0 Reorder the terms: 9r + -40r + 8s + 25s = 0 Combine like terms: 9r + -40r = -31r -31r + 8s + 25s = 0 Combine like terms: 8s + 25s = 33s -31r + 33s = 0 Solving -31r + 33s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-33s' to each side of the equation. -31r + 33s + -33s = 0 + -33s Combine like terms: 33s + -33s = 0 -31r + 0 = 0 + -33s -31r = 0 + -33s Remove the zero: -31r = -33s Divide each side by '-31'. r = 1.064516129s Simplifying r = 1.064516129s
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