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Simplifying 7(7r + -8) + (4 + 2r) = 0 Reorder the terms: 7(-8 + 7r) + (4 + 2r) = 0 (-8 * 7 + 7r * 7) + (4 + 2r) = 0 (-56 + 49r) + (4 + 2r) = 0 Remove parenthesis around (4 + 2r) -56 + 49r + 4 + 2r = 0 Reorder the terms: -56 + 4 + 49r + 2r = 0 Combine like terms: -56 + 4 = -52 -52 + 49r + 2r = 0 Combine like terms: 49r + 2r = 51r -52 + 51r = 0 Solving -52 + 51r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 51r = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 51r = 0 + 52 51r = 0 + 52 Combine like terms: 0 + 52 = 52 51r = 52 Divide each side by '51'. r = 1.019607843 Simplifying r = 1.019607843
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