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Simplifying -4(-8r + -2) = 8(1 + 2r) Reorder the terms: -4(-2 + -8r) = 8(1 + 2r) (-2 * -4 + -8r * -4) = 8(1 + 2r) (8 + 32r) = 8(1 + 2r) 8 + 32r = (1 * 8 + 2r * 8) 8 + 32r = (8 + 16r) Add '-8' to each side of the equation. 8 + -8 + 32r = 8 + -8 + 16r Combine like terms: 8 + -8 = 0 0 + 32r = 8 + -8 + 16r 32r = 8 + -8 + 16r Combine like terms: 8 + -8 = 0 32r = 0 + 16r 32r = 16r Solving 32r = 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. 32r + -16r = 16r + -16r Combine like terms: 32r + -16r = 16r 16r = 16r + -16r Combine like terms: 16r + -16r = 0 16r = 0 Divide each side by '16'. r = 0 Simplifying r = 0
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