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Simplifying 7(2r + 5) = 5(r + 7) + 5r Reorder the terms: 7(5 + 2r) = 5(r + 7) + 5r (5 * 7 + 2r * 7) = 5(r + 7) + 5r (35 + 14r) = 5(r + 7) + 5r Reorder the terms: 35 + 14r = 5(7 + r) + 5r 35 + 14r = (7 * 5 + r * 5) + 5r 35 + 14r = (35 + 5r) + 5r Combine like terms: 5r + 5r = 10r 35 + 14r = 35 + 10r Add '-35' to each side of the equation. 35 + -35 + 14r = 35 + -35 + 10r Combine like terms: 35 + -35 = 0 0 + 14r = 35 + -35 + 10r 14r = 35 + -35 + 10r Combine like terms: 35 + -35 = 0 14r = 0 + 10r 14r = 10r Solving 14r = 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 14r + -10r = 10r + -10r Combine like terms: 14r + -10r = 4r 4r = 10r + -10r Combine like terms: 10r + -10r = 0 4r = 0 Divide each side by '4'. r = 0 Simplifying r = 0
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