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Simplifying 35 + 7r = 6(r + 6) Reorder the terms: 35 + 7r = 6(6 + r) 35 + 7r = (6 * 6 + r * 6) 35 + 7r = (36 + 6r) Solving 35 + 7r = 36 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 35 + 7r + -6r = 36 + 6r + -6r Combine like terms: 7r + -6r = 1r 35 + 1r = 36 + 6r + -6r Combine like terms: 6r + -6r = 0 35 + 1r = 36 + 0 35 + 1r = 36 Add '-35' to each side of the equation. 35 + -35 + 1r = 36 + -35 Combine like terms: 35 + -35 = 0 0 + 1r = 36 + -35 1r = 36 + -35 Combine like terms: 36 + -35 = 1 1r = 1 Divide each side by '1'. r = 1 Simplifying r = 1
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