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Simplifying 7(r + -3) + 7 = -32 + -2r Reorder the terms: 7(-3 + r) + 7 = -32 + -2r (-3 * 7 + r * 7) + 7 = -32 + -2r (-21 + 7r) + 7 = -32 + -2r Reorder the terms: -21 + 7 + 7r = -32 + -2r Combine like terms: -21 + 7 = -14 -14 + 7r = -32 + -2r Solving -14 + 7r = -32 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -14 + 7r + 2r = -32 + -2r + 2r Combine like terms: 7r + 2r = 9r -14 + 9r = -32 + -2r + 2r Combine like terms: -2r + 2r = 0 -14 + 9r = -32 + 0 -14 + 9r = -32 Add '14' to each side of the equation. -14 + 14 + 9r = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 9r = -32 + 14 9r = -32 + 14 Combine like terms: -32 + 14 = -18 9r = -18 Divide each side by '9'. r = -2 Simplifying r = -2
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