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Simplifying 4(2r + 8) = 6(4r + -32) Reorder the terms: 4(8 + 2r) = 6(4r + -32) (8 * 4 + 2r * 4) = 6(4r + -32) (32 + 8r) = 6(4r + -32) Reorder the terms: 32 + 8r = 6(-32 + 4r) 32 + 8r = (-32 * 6 + 4r * 6) 32 + 8r = (-192 + 24r) Solving 32 + 8r = -192 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 32 + 8r + -24r = -192 + 24r + -24r Combine like terms: 8r + -24r = -16r 32 + -16r = -192 + 24r + -24r Combine like terms: 24r + -24r = 0 32 + -16r = -192 + 0 32 + -16r = -192 Add '-32' to each side of the equation. 32 + -32 + -16r = -192 + -32 Combine like terms: 32 + -32 = 0 0 + -16r = -192 + -32 -16r = -192 + -32 Combine like terms: -192 + -32 = -224 -16r = -224 Divide each side by '-16'. r = 14 Simplifying r = 14
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