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Simplifying 11(r + 7) = -7(r + 7) Reorder the terms: 11(7 + r) = -7(r + 7) (7 * 11 + r * 11) = -7(r + 7) (77 + 11r) = -7(r + 7) Reorder the terms: 77 + 11r = -7(7 + r) 77 + 11r = (7 * -7 + r * -7) 77 + 11r = (-49 + -7r) Solving 77 + 11r = -49 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 77 + 11r + 7r = -49 + -7r + 7r Combine like terms: 11r + 7r = 18r 77 + 18r = -49 + -7r + 7r Combine like terms: -7r + 7r = 0 77 + 18r = -49 + 0 77 + 18r = -49 Add '-77' to each side of the equation. 77 + -77 + 18r = -49 + -77 Combine like terms: 77 + -77 = 0 0 + 18r = -49 + -77 18r = -49 + -77 Combine like terms: -49 + -77 = -126 18r = -126 Divide each side by '18'. r = -7 Simplifying r = -7
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