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Simplifying r + 2s + 4 = -3s + 6r + 14 Reorder the terms: 4 + r + 2s = -3s + 6r + 14 Reorder the terms: 4 + r + 2s = 14 + 6r + -3s Solving 4 + r + 2s = 14 + 6r + -3s Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 4 + r + -6r + 2s = 14 + 6r + -6r + -3s Combine like terms: r + -6r = -5r 4 + -5r + 2s = 14 + 6r + -6r + -3s Combine like terms: 6r + -6r = 0 4 + -5r + 2s = 14 + 0 + -3s 4 + -5r + 2s = 14 + -3s Add '-4' to each side of the equation. 4 + -5r + -4 + 2s = 14 + -4 + -3s Reorder the terms: 4 + -4 + -5r + 2s = 14 + -4 + -3s Combine like terms: 4 + -4 = 0 0 + -5r + 2s = 14 + -4 + -3s -5r + 2s = 14 + -4 + -3s Combine like terms: 14 + -4 = 10 -5r + 2s = 10 + -3s Add '-2s' to each side of the equation. -5r + 2s + -2s = 10 + -3s + -2s Combine like terms: 2s + -2s = 0 -5r + 0 = 10 + -3s + -2s -5r = 10 + -3s + -2s Combine like terms: -3s + -2s = -5s -5r = 10 + -5s Divide each side by '-5'. r = -2 + s Simplifying r = -2 + s
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