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Simplifying 12r + 5 + 7s + -3 + 12s + -3 = 0 Reorder the terms: 5 + -3 + -3 + 12r + 7s + 12s = 0 Combine like terms: 5 + -3 = 2 2 + -3 + 12r + 7s + 12s = 0 Combine like terms: 2 + -3 = -1 -1 + 12r + 7s + 12s = 0 Combine like terms: 7s + 12s = 19s -1 + 12r + 19s = 0 Solving -1 + 12r + 19s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 12r + 1 + 19s = 0 + 1 Reorder the terms: -1 + 1 + 12r + 19s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12r + 19s = 0 + 1 12r + 19s = 0 + 1 Combine like terms: 0 + 1 = 1 12r + 19s = 1 Add '-19s' to each side of the equation. 12r + 19s + -19s = 1 + -19s Combine like terms: 19s + -19s = 0 12r + 0 = 1 + -19s 12r = 1 + -19s Divide each side by '12'. r = 0.08333333333 + -1.583333333s Simplifying r = 0.08333333333 + -1.583333333s
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