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Simplifying r + 4 + 6r = 3 + 8r Reorder the terms: 4 + r + 6r = 3 + 8r Combine like terms: r + 6r = 7r 4 + 7r = 3 + 8r Solving 4 + 7r = 3 + 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. 4 + 7r + -8r = 3 + 8r + -8r Combine like terms: 7r + -8r = -1r 4 + -1r = 3 + 8r + -8r Combine like terms: 8r + -8r = 0 4 + -1r = 3 + 0 4 + -1r = 3 Add '-4' to each side of the equation. 4 + -4 + -1r = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 3 + -4 -1r = 3 + -4 Combine like terms: 3 + -4 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1
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