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Simplifying -12 = -8 + -2(r + 12) Reorder the terms: -12 = -8 + -2(12 + r) -12 = -8 + (12 * -2 + r * -2) -12 = -8 + (-24 + -2r) Combine like terms: -8 + -24 = -32 -12 = -32 + -2r Solving -12 = -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. -12 + 2r = -32 + -2r + 2r Combine like terms: -2r + 2r = 0 -12 + 2r = -32 + 0 -12 + 2r = -32 Add '12' to each side of the equation. -12 + 12 + 2r = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 2r = -32 + 12 2r = -32 + 12 Combine like terms: -32 + 12 = -20 2r = -20 Divide each side by '2'. r = -10 Simplifying r = -10
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