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Simplifying 5(r + 7) + 26 = 2r + 106 Reorder the terms: 5(7 + r) + 26 = 2r + 106 (7 * 5 + r * 5) + 26 = 2r + 106 (35 + 5r) + 26 = 2r + 106 Reorder the terms: 35 + 26 + 5r = 2r + 106 Combine like terms: 35 + 26 = 61 61 + 5r = 2r + 106 Reorder the terms: 61 + 5r = 106 + 2r Solving 61 + 5r = 106 + 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. 61 + 5r + -2r = 106 + 2r + -2r Combine like terms: 5r + -2r = 3r 61 + 3r = 106 + 2r + -2r Combine like terms: 2r + -2r = 0 61 + 3r = 106 + 0 61 + 3r = 106 Add '-61' to each side of the equation. 61 + -61 + 3r = 106 + -61 Combine like terms: 61 + -61 = 0 0 + 3r = 106 + -61 3r = 106 + -61 Combine like terms: 106 + -61 = 45 3r = 45 Divide each side by '3'. r = 15 Simplifying r = 15
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