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Simplifying 8(-2r + 8) = -8r + -2(4 + -8r) Reorder the terms: 8(8 + -2r) = -8r + -2(4 + -8r) (8 * 8 + -2r * 8) = -8r + -2(4 + -8r) (64 + -16r) = -8r + -2(4 + -8r) 64 + -16r = -8r + (4 * -2 + -8r * -2) 64 + -16r = -8r + (-8 + 16r) Reorder the terms: 64 + -16r = -8 + -8r + 16r Combine like terms: -8r + 16r = 8r 64 + -16r = -8 + 8r Solving 64 + -16r = -8 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 64 + -16r + -8r = -8 + 8r + -8r Combine like terms: -16r + -8r = -24r 64 + -24r = -8 + 8r + -8r Combine like terms: 8r + -8r = 0 64 + -24r = -8 + 0 64 + -24r = -8 Add '-64' to each side of the equation. 64 + -64 + -24r = -8 + -64 Combine like terms: 64 + -64 = 0 0 + -24r = -8 + -64 -24r = -8 + -64 Combine like terms: -8 + -64 = -72 -24r = -72 Divide each side by '-24'. r = 3 Simplifying r = 3
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