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Simplifying R + 5 + 7 = -4(r + 7) + 5(3r + 8) Reorder the terms: 5 + 7 + R = -4(r + 7) + 5(3r + 8) Combine like terms: 5 + 7 = 12 12 + R = -4(r + 7) + 5(3r + 8) Reorder the terms: 12 + R = -4(7 + r) + 5(3r + 8) 12 + R = (7 * -4 + r * -4) + 5(3r + 8) 12 + R = (-28 + -4r) + 5(3r + 8) Reorder the terms: 12 + R = -28 + -4r + 5(8 + 3r) 12 + R = -28 + -4r + (8 * 5 + 3r * 5) 12 + R = -28 + -4r + (40 + 15r) Reorder the terms: 12 + R = -28 + 40 + -4r + 15r Combine like terms: -28 + 40 = 12 12 + R = 12 + -4r + 15r Combine like terms: -4r + 15r = 11r 12 + R = 12 + 11r Add '-12' to each side of the equation. 12 + -12 + R = 12 + -12 + 11r Combine like terms: 12 + -12 = 0 0 + R = 12 + -12 + 11r R = 12 + -12 + 11r Combine like terms: 12 + -12 = 0 R = 0 + 11r R = 11r Solving R = 11r Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Simplifying R = 11r
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