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Simplifying 2(2r + 5) + -6 = 5r + -4 Reorder the terms: 2(5 + 2r) + -6 = 5r + -4 (5 * 2 + 2r * 2) + -6 = 5r + -4 (10 + 4r) + -6 = 5r + -4 Reorder the terms: 10 + -6 + 4r = 5r + -4 Combine like terms: 10 + -6 = 4 4 + 4r = 5r + -4 Reorder the terms: 4 + 4r = -4 + 5r Solving 4 + 4r = -4 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 4 + 4r + -5r = -4 + 5r + -5r Combine like terms: 4r + -5r = -1r 4 + -1r = -4 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + -1r = -4 + 0 4 + -1r = -4 Add '-4' to each side of the equation. 4 + -4 + -1r = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = -4 + -4 -1r = -4 + -4 Combine like terms: -4 + -4 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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