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Simplifying -7(r + 1) + -2 = 2 + (r + -1) Reorder the terms: -7(1 + r) + -2 = 2 + (r + -1) (1 * -7 + r * -7) + -2 = 2 + (r + -1) (-7 + -7r) + -2 = 2 + (r + -1) Reorder the terms: -7 + -2 + -7r = 2 + (r + -1) Combine like terms: -7 + -2 = -9 -9 + -7r = 2 + (r + -1) Reorder the terms: -9 + -7r = 2 + (-1 + r) Remove parenthesis around (-1 + r) -9 + -7r = 2 + -1 + r Combine like terms: 2 + -1 = 1 -9 + -7r = 1 + r Solving -9 + -7r = 1 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -9 + -7r + -1r = 1 + r + -1r Combine like terms: -7r + -1r = -8r -9 + -8r = 1 + r + -1r Combine like terms: r + -1r = 0 -9 + -8r = 1 + 0 -9 + -8r = 1 Add '9' to each side of the equation. -9 + 9 + -8r = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -8r = 1 + 9 -8r = 1 + 9 Combine like terms: 1 + 9 = 10 -8r = 10 Divide each side by '-8'. r = -1.25 Simplifying r = -1.25
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