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Simplifying 7 + 18r + -6 = 9r + 49 + -7r Reorder the terms: 7 + -6 + 18r = 9r + 49 + -7r Combine like terms: 7 + -6 = 1 1 + 18r = 9r + 49 + -7r Reorder the terms: 1 + 18r = 49 + 9r + -7r Combine like terms: 9r + -7r = 2r 1 + 18r = 49 + 2r Solving 1 + 18r = 49 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 1 + 18r + -2r = 49 + 2r + -2r Combine like terms: 18r + -2r = 16r 1 + 16r = 49 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 16r = 49 + 0 1 + 16r = 49 Add '-1' to each side of the equation. 1 + -1 + 16r = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 16r = 49 + -1 16r = 49 + -1 Combine like terms: 49 + -1 = 48 16r = 48 Divide each side by '16'. r = 3 Simplifying r = 3
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