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Simplifying -6r + 2(7r + 8) = 16 + 7r Reorder the terms: -6r + 2(8 + 7r) = 16 + 7r -6r + (8 * 2 + 7r * 2) = 16 + 7r -6r + (16 + 14r) = 16 + 7r Reorder the terms: 16 + -6r + 14r = 16 + 7r Combine like terms: -6r + 14r = 8r 16 + 8r = 16 + 7r Add '-16' to each side of the equation. 16 + -16 + 8r = 16 + -16 + 7r Combine like terms: 16 + -16 = 0 0 + 8r = 16 + -16 + 7r 8r = 16 + -16 + 7r Combine like terms: 16 + -16 = 0 8r = 0 + 7r 8r = 7r Solving 8r = 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. 8r + -7r = 7r + -7r Combine like terms: 8r + -7r = 1r 1r = 7r + -7r Combine like terms: 7r + -7r = 0 1r = 0 Divide each side by '1'. r = 0 Simplifying r = 0
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