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Simplifying 8 + 19r + -6 = 8r + 107 + -4r Reorder the terms: 8 + -6 + 19r = 8r + 107 + -4r Combine like terms: 8 + -6 = 2 2 + 19r = 8r + 107 + -4r Reorder the terms: 2 + 19r = 107 + 8r + -4r Combine like terms: 8r + -4r = 4r 2 + 19r = 107 + 4r Solving 2 + 19r = 107 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 2 + 19r + -4r = 107 + 4r + -4r Combine like terms: 19r + -4r = 15r 2 + 15r = 107 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + 15r = 107 + 0 2 + 15r = 107 Add '-2' to each side of the equation. 2 + -2 + 15r = 107 + -2 Combine like terms: 2 + -2 = 0 0 + 15r = 107 + -2 15r = 107 + -2 Combine like terms: 107 + -2 = 105 15r = 105 Divide each side by '15'. r = 7 Simplifying r = 7
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