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Simplifying 3(R + 4) + -6r = -9(3) Reorder the terms: 3(4 + R) + -6r = -9(3) (4 * 3 + R * 3) + -6r = -9(3) (12 + 3R) + -6r = -9(3) Multiply -9 * 3 12 + 3R + -6r = -27 Solving 12 + 3R + -6r = -27 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3R + -12 + -6r = -27 + -12 Reorder the terms: 12 + -12 + 3R + -6r = -27 + -12 Combine like terms: 12 + -12 = 0 0 + 3R + -6r = -27 + -12 3R + -6r = -27 + -12 Combine like terms: -27 + -12 = -39 3R + -6r = -39 Add '6r' to each side of the equation. 3R + -6r + 6r = -39 + 6r Combine like terms: -6r + 6r = 0 3R + 0 = -39 + 6r 3R = -39 + 6r Divide each side by '3'. R = -13 + 2r Simplifying R = -13 + 2r
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