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Simplifying R + 14 + -2r + -6 = 3r + 4 + -2r + -2 Reorder the terms: 14 + -6 + R + -2r = 3r + 4 + -2r + -2 Combine like terms: 14 + -6 = 8 8 + R + -2r = 3r + 4 + -2r + -2 Reorder the terms: 8 + R + -2r = 4 + -2 + 3r + -2r Combine like terms: 4 + -2 = 2 8 + R + -2r = 2 + 3r + -2r Combine like terms: 3r + -2r = 1r 8 + R + -2r = 2 + 1r Solving 8 + R + -2r = 2 + 1r Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + R + -8 + -2r = 2 + -8 + 1r Reorder the terms: 8 + -8 + R + -2r = 2 + -8 + 1r Combine like terms: 8 + -8 = 0 0 + R + -2r = 2 + -8 + 1r R + -2r = 2 + -8 + 1r Combine like terms: 2 + -8 = -6 R + -2r = -6 + 1r Add '2r' to each side of the equation. R + -2r + 2r = -6 + 1r + 2r Combine like terms: -2r + 2r = 0 R + 0 = -6 + 1r + 2r R = -6 + 1r + 2r Combine like terms: 1r + 2r = 3r R = -6 + 3r Simplifying R = -6 + 3r
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