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Simplifying 4 + 14r + -3 = 6r + 109 + -4r Reorder the terms: 4 + -3 + 14r = 6r + 109 + -4r Combine like terms: 4 + -3 = 1 1 + 14r = 6r + 109 + -4r Reorder the terms: 1 + 14r = 109 + 6r + -4r Combine like terms: 6r + -4r = 2r 1 + 14r = 109 + 2r Solving 1 + 14r = 109 + 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 + 14r + -2r = 109 + 2r + -2r Combine like terms: 14r + -2r = 12r 1 + 12r = 109 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 12r = 109 + 0 1 + 12r = 109 Add '-1' to each side of the equation. 1 + -1 + 12r = 109 + -1 Combine like terms: 1 + -1 = 0 0 + 12r = 109 + -1 12r = 109 + -1 Combine like terms: 109 + -1 = 108 12r = 108 Divide each side by '12'. r = 9 Simplifying r = 9
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