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Simplifying 2 + -1r = -16 + 5r + -7 + 7 Reorder the terms: 2 + -1r = -16 + -7 + 7 + 5r Combine like terms: -16 + -7 = -23 2 + -1r = -23 + 7 + 5r Combine like terms: -23 + 7 = -16 2 + -1r = -16 + 5r Solving 2 + -1r = -16 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 2 + -1r + -5r = -16 + 5r + -5r Combine like terms: -1r + -5r = -6r 2 + -6r = -16 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + -6r = -16 + 0 2 + -6r = -16 Add '-2' to each side of the equation. 2 + -2 + -6r = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -6r = -16 + -2 -6r = -16 + -2 Combine like terms: -16 + -2 = -18 -6r = -18 Divide each side by '-6'. r = 3 Simplifying r = 3
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