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Simplifying 8(R + -5) + -7(R + 4) = 2(R + 8) Reorder the terms: 8(-5 + R) + -7(R + 4) = 2(R + 8) (-5 * 8 + R * 8) + -7(R + 4) = 2(R + 8) (-40 + 8R) + -7(R + 4) = 2(R + 8) Reorder the terms: -40 + 8R + -7(4 + R) = 2(R + 8) -40 + 8R + (4 * -7 + R * -7) = 2(R + 8) -40 + 8R + (-28 + -7R) = 2(R + 8) Reorder the terms: -40 + -28 + 8R + -7R = 2(R + 8) Combine like terms: -40 + -28 = -68 -68 + 8R + -7R = 2(R + 8) Combine like terms: 8R + -7R = 1R -68 + 1R = 2(R + 8) Reorder the terms: -68 + 1R = 2(8 + R) -68 + 1R = (8 * 2 + R * 2) -68 + 1R = (16 + 2R) Solving -68 + 1R = 16 + 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. -68 + 1R + -2R = 16 + 2R + -2R Combine like terms: 1R + -2R = -1R -68 + -1R = 16 + 2R + -2R Combine like terms: 2R + -2R = 0 -68 + -1R = 16 + 0 -68 + -1R = 16 Add '68' to each side of the equation. -68 + 68 + -1R = 16 + 68 Combine like terms: -68 + 68 = 0 0 + -1R = 16 + 68 -1R = 16 + 68 Combine like terms: 16 + 68 = 84 -1R = 84 Divide each side by '-1'. R = -84 Simplifying R = -84
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