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Simplifying (5r + -4s) + -1(2r + 3s) = 0 Remove parenthesis around (5r + -4s) 5r + -4s + -1(2r + 3s) = 0 5r + -4s + (2r * -1 + 3s * -1) = 0 5r + -4s + (-2r + -3s) = 0 Reorder the terms: 5r + -2r + -4s + -3s = 0 Combine like terms: 5r + -2r = 3r 3r + -4s + -3s = 0 Combine like terms: -4s + -3s = -7s 3r + -7s = 0 Solving 3r + -7s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7s' to each side of the equation. 3r + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 3r + 0 = 0 + 7s 3r = 0 + 7s Remove the zero: 3r = 7s Divide each side by '3'. r = 2.333333333s Simplifying r = 2.333333333s
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