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Simplifying (16r + -5s) + -1(12r + 17s) = 0 Remove parenthesis around (16r + -5s) 16r + -5s + -1(12r + 17s) = 0 16r + -5s + (12r * -1 + 17s * -1) = 0 16r + -5s + (-12r + -17s) = 0 Reorder the terms: 16r + -12r + -5s + -17s = 0 Combine like terms: 16r + -12r = 4r 4r + -5s + -17s = 0 Combine like terms: -5s + -17s = -22s 4r + -22s = 0 Solving 4r + -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. 4r + -22s + 22s = 0 + 22s Combine like terms: -22s + 22s = 0 4r + 0 = 0 + 22s 4r = 0 + 22s Remove the zero: 4r = 22s Divide each side by '4'. r = 5.5s Simplifying r = 5.5s
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