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Simplifying 6r + 19 = 3r + -19 + -16r Reorder the terms: 19 + 6r = 3r + -19 + -16r Reorder the terms: 19 + 6r = -19 + 3r + -16r Combine like terms: 3r + -16r = -13r 19 + 6r = -19 + -13r Solving 19 + 6r = -19 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. 19 + 6r + 13r = -19 + -13r + 13r Combine like terms: 6r + 13r = 19r 19 + 19r = -19 + -13r + 13r Combine like terms: -13r + 13r = 0 19 + 19r = -19 + 0 19 + 19r = -19 Add '-19' to each side of the equation. 19 + -19 + 19r = -19 + -19 Combine like terms: 19 + -19 = 0 0 + 19r = -19 + -19 19r = -19 + -19 Combine like terms: -19 + -19 = -38 19r = -38 Divide each side by '19'. r = -2 Simplifying r = -2
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