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Simplifying 2(1 + 7r) + 5r = 2 + 7r (1 * 2 + 7r * 2) + 5r = 2 + 7r (2 + 14r) + 5r = 2 + 7r Combine like terms: 14r + 5r = 19r 2 + 19r = 2 + 7r Add '-2' to each side of the equation. 2 + -2 + 19r = 2 + -2 + 7r Combine like terms: 2 + -2 = 0 0 + 19r = 2 + -2 + 7r 19r = 2 + -2 + 7r Combine like terms: 2 + -2 = 0 19r = 0 + 7r 19r = 7r Solving 19r = 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 19r + -7r = 7r + -7r Combine like terms: 19r + -7r = 12r 12r = 7r + -7r Combine like terms: 7r + -7r = 0 12r = 0 Divide each side by '12'. r = 0 Simplifying r = 0
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