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Simplifying 5r + 2(5 + -3r) + 4r + -7 = 0 5r + (5 * 2 + -3r * 2) + 4r + -7 = 0 5r + (10 + -6r) + 4r + -7 = 0 Reorder the terms: 10 + -7 + 5r + -6r + 4r = 0 Combine like terms: 10 + -7 = 3 3 + 5r + -6r + 4r = 0 Combine like terms: 5r + -6r = -1r 3 + -1r + 4r = 0 Combine like terms: -1r + 4r = 3r 3 + 3r = 0 Solving 3 + 3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = 0 + -3 3r = 0 + -3 Combine like terms: 0 + -3 = -3 3r = -3 Divide each side by '3'. r = -1 Simplifying r = -1
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