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Simplifying 8(4r + 4) = 4(4r + -8) Reorder the terms: 8(4 + 4r) = 4(4r + -8) (4 * 8 + 4r * 8) = 4(4r + -8) (32 + 32r) = 4(4r + -8) Reorder the terms: 32 + 32r = 4(-8 + 4r) 32 + 32r = (-8 * 4 + 4r * 4) 32 + 32r = (-32 + 16r) Solving 32 + 32r = -32 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. 32 + 32r + -16r = -32 + 16r + -16r Combine like terms: 32r + -16r = 16r 32 + 16r = -32 + 16r + -16r Combine like terms: 16r + -16r = 0 32 + 16r = -32 + 0 32 + 16r = -32 Add '-32' to each side of the equation. 32 + -32 + 16r = -32 + -32 Combine like terms: 32 + -32 = 0 0 + 16r = -32 + -32 16r = -32 + -32 Combine like terms: -32 + -32 = -64 16r = -64 Divide each side by '16'. r = -4 Simplifying r = -4
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