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Simplifying 3r + 5(2r + 7) + -7r = 4 Reorder the terms: 3r + 5(7 + 2r) + -7r = 4 3r + (7 * 5 + 2r * 5) + -7r = 4 3r + (35 + 10r) + -7r = 4 Reorder the terms: 35 + 3r + 10r + -7r = 4 Combine like terms: 3r + 10r = 13r 35 + 13r + -7r = 4 Combine like terms: 13r + -7r = 6r 35 + 6r = 4 Solving 35 + 6r = 4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 6r = 4 + -35 Combine like terms: 35 + -35 = 0 0 + 6r = 4 + -35 6r = 4 + -35 Combine like terms: 4 + -35 = -31 6r = -31 Divide each side by '6'. r = -5.166666667 Simplifying r = -5.166666667
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