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Simplifying 8(4r + 2) + 16 = 0 Reorder the terms: 8(2 + 4r) + 16 = 0 (2 * 8 + 4r * 8) + 16 = 0 (16 + 32r) + 16 = 0 Reorder the terms: 16 + 16 + 32r = 0 Combine like terms: 16 + 16 = 32 32 + 32r = 0 Solving 32 + 32r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 32r = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 32r = 0 + -32 32r = 0 + -32 Combine like terms: 0 + -32 = -32 32r = -32 Divide each side by '32'. r = -1 Simplifying r = -1
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