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Simplifying (R + -4) + -1(2r + 16) = 7 + r + -23 Reorder the terms: (-4 + R) + -1(2r + 16) = 7 + r + -23 Remove parenthesis around (-4 + R) -4 + R + -1(2r + 16) = 7 + r + -23 Reorder the terms: -4 + R + -1(16 + 2r) = 7 + r + -23 -4 + R + (16 * -1 + 2r * -1) = 7 + r + -23 -4 + R + (-16 + -2r) = 7 + r + -23 Reorder the terms: -4 + -16 + R + -2r = 7 + r + -23 Combine like terms: -4 + -16 = -20 -20 + R + -2r = 7 + r + -23 Reorder the terms: -20 + R + -2r = 7 + -23 + r Combine like terms: 7 + -23 = -16 -20 + R + -2r = -16 + r Solving -20 + R + -2r = -16 + r Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '20' to each side of the equation. -20 + R + 20 + -2r = -16 + 20 + r Reorder the terms: -20 + 20 + R + -2r = -16 + 20 + r Combine like terms: -20 + 20 = 0 0 + R + -2r = -16 + 20 + r R + -2r = -16 + 20 + r Combine like terms: -16 + 20 = 4 R + -2r = 4 + r Add '2r' to each side of the equation. R + -2r + 2r = 4 + r + 2r Combine like terms: -2r + 2r = 0 R + 0 = 4 + r + 2r R = 4 + r + 2r Combine like terms: r + 2r = 3r R = 4 + 3r Simplifying R = 4 + 3r
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