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Simplifying 2R + -2(R + 3) = 4[2R + -3(2 + R)] Reorder the terms: 2R + -2(3 + R) = 4[2R + -3(2 + R)] 2R + (3 * -2 + R * -2) = 4[2R + -3(2 + R)] 2R + (-6 + -2R) = 4[2R + -3(2 + R)] Reorder the terms: -6 + 2R + -2R = 4[2R + -3(2 + R)] Combine like terms: 2R + -2R = 0 -6 + 0 = 4[2R + -3(2 + R)] -6 = 4[2R + -3(2 + R)] -6 = 4[2R + (2 * -3 + R * -3)] -6 = 4[2R + (-6 + -3R)] Reorder the terms: -6 = 4[-6 + 2R + -3R] Combine like terms: 2R + -3R = -1R -6 = 4[-6 + -1R] -6 = [-6 * 4 + -1R * 4] -6 = [-24 + -4R] Solving -6 = -24 + -4R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '4R' to each side of the equation. -6 + 4R = -24 + -4R + 4R Combine like terms: -4R + 4R = 0 -6 + 4R = -24 + 0 -6 + 4R = -24 Add '6' to each side of the equation. -6 + 6 + 4R = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 4R = -24 + 6 4R = -24 + 6 Combine like terms: -24 + 6 = -18 4R = -18 Divide each side by '4'. R = -4.5 Simplifying R = -4.5
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