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Simplifying 7(2r + -2) = -32 + 8r Reorder the terms: 7(-2 + 2r) = -32 + 8r (-2 * 7 + 2r * 7) = -32 + 8r (-14 + 14r) = -32 + 8r Solving -14 + 14r = -32 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -14 + 14r + -8r = -32 + 8r + -8r Combine like terms: 14r + -8r = 6r -14 + 6r = -32 + 8r + -8r Combine like terms: 8r + -8r = 0 -14 + 6r = -32 + 0 -14 + 6r = -32 Add '14' to each side of the equation. -14 + 14 + 6r = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 6r = -32 + 14 6r = -32 + 14 Combine like terms: -32 + 14 = -18 6r = -18 Divide each side by '6'. r = -3 Simplifying r = -3
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