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Simplifying 16 + 7r = -5(-1r + -6) Reorder the terms: 16 + 7r = -5(-6 + -1r) 16 + 7r = (-6 * -5 + -1r * -5) 16 + 7r = (30 + 5r) Solving 16 + 7r = 30 + 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. 16 + 7r + -5r = 30 + 5r + -5r Combine like terms: 7r + -5r = 2r 16 + 2r = 30 + 5r + -5r Combine like terms: 5r + -5r = 0 16 + 2r = 30 + 0 16 + 2r = 30 Add '-16' to each side of the equation. 16 + -16 + 2r = 30 + -16 Combine like terms: 16 + -16 = 0 0 + 2r = 30 + -16 2r = 30 + -16 Combine like terms: 30 + -16 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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