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Simplifying 8(R + -6) + -7(R + -1) = 2(R + 5) Reorder the terms: 8(-6 + R) + -7(R + -1) = 2(R + 5) (-6 * 8 + R * 8) + -7(R + -1) = 2(R + 5) (-48 + 8R) + -7(R + -1) = 2(R + 5) Reorder the terms: -48 + 8R + -7(-1 + R) = 2(R + 5) -48 + 8R + (-1 * -7 + R * -7) = 2(R + 5) -48 + 8R + (7 + -7R) = 2(R + 5) Reorder the terms: -48 + 7 + 8R + -7R = 2(R + 5) Combine like terms: -48 + 7 = -41 -41 + 8R + -7R = 2(R + 5) Combine like terms: 8R + -7R = 1R -41 + 1R = 2(R + 5) Reorder the terms: -41 + 1R = 2(5 + R) -41 + 1R = (5 * 2 + R * 2) -41 + 1R = (10 + 2R) Solving -41 + 1R = 10 + 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. -41 + 1R + -2R = 10 + 2R + -2R Combine like terms: 1R + -2R = -1R -41 + -1R = 10 + 2R + -2R Combine like terms: 2R + -2R = 0 -41 + -1R = 10 + 0 -41 + -1R = 10 Add '41' to each side of the equation. -41 + 41 + -1R = 10 + 41 Combine like terms: -41 + 41 = 0 0 + -1R = 10 + 41 -1R = 10 + 41 Combine like terms: 10 + 41 = 51 -1R = 51 Divide each side by '-1'. R = -51 Simplifying R = -51
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