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Simplifying 22 + 6r = 5(r + 5) Reorder the terms: 22 + 6r = 5(5 + r) 22 + 6r = (5 * 5 + r * 5) 22 + 6r = (25 + 5r) Solving 22 + 6r = 25 + 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. 22 + 6r + -5r = 25 + 5r + -5r Combine like terms: 6r + -5r = 1r 22 + 1r = 25 + 5r + -5r Combine like terms: 5r + -5r = 0 22 + 1r = 25 + 0 22 + 1r = 25 Add '-22' to each side of the equation. 22 + -22 + 1r = 25 + -22 Combine like terms: 22 + -22 = 0 0 + 1r = 25 + -22 1r = 25 + -22 Combine like terms: 25 + -22 = 3 1r = 3 Divide each side by '1'. r = 3 Simplifying r = 3
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