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Simplifying 5R + -1(4 + -2R) = 2(R + 11) + -1 5R + (4 * -1 + -2R * -1) = 2(R + 11) + -1 5R + (-4 + 2R) = 2(R + 11) + -1 Reorder the terms: -4 + 5R + 2R = 2(R + 11) + -1 Combine like terms: 5R + 2R = 7R -4 + 7R = 2(R + 11) + -1 Reorder the terms: -4 + 7R = 2(11 + R) + -1 -4 + 7R = (11 * 2 + R * 2) + -1 -4 + 7R = (22 + 2R) + -1 Reorder the terms: -4 + 7R = 22 + -1 + 2R Combine like terms: 22 + -1 = 21 -4 + 7R = 21 + 2R Solving -4 + 7R = 21 + 2R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-2R' to each side of the equation. -4 + 7R + -2R = 21 + 2R + -2R Combine like terms: 7R + -2R = 5R -4 + 5R = 21 + 2R + -2R Combine like terms: 2R + -2R = 0 -4 + 5R = 21 + 0 -4 + 5R = 21 Add '4' to each side of the equation. -4 + 4 + 5R = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5R = 21 + 4 5R = 21 + 4 Combine like terms: 21 + 4 = 25 5R = 25 Divide each side by '5'. R = 5 Simplifying R = 5
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