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Simplifying 3r + 5s + -5(8r + -2s) = 0 3r + 5s + (8r * -5 + -2s * -5) = 0 3r + 5s + (-40r + 10s) = 0 Reorder the terms: 3r + -40r + 5s + 10s = 0 Combine like terms: 3r + -40r = -37r -37r + 5s + 10s = 0 Combine like terms: 5s + 10s = 15s -37r + 15s = 0 Solving -37r + 15s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15s' to each side of the equation. -37r + 15s + -15s = 0 + -15s Combine like terms: 15s + -15s = 0 -37r + 0 = 0 + -15s -37r = 0 + -15s Remove the zero: -37r = -15s Divide each side by '-37'. r = 0.4054054054s Simplifying r = 0.4054054054s
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