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Simplifying 35 + 6r = 5r + 3(r + 7) Reorder the terms: 35 + 6r = 5r + 3(7 + r) 35 + 6r = 5r + (7 * 3 + r * 3) 35 + 6r = 5r + (21 + 3r) Reorder the terms: 35 + 6r = 21 + 5r + 3r Combine like terms: 5r + 3r = 8r 35 + 6r = 21 + 8r Solving 35 + 6r = 21 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 35 + 6r + -8r = 21 + 8r + -8r Combine like terms: 6r + -8r = -2r 35 + -2r = 21 + 8r + -8r Combine like terms: 8r + -8r = 0 35 + -2r = 21 + 0 35 + -2r = 21 Add '-35' to each side of the equation. 35 + -35 + -2r = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -2r = 21 + -35 -2r = 21 + -35 Combine like terms: 21 + -35 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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