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Simplifying 2(4r + 12) = 8(2r + -4) Reorder the terms: 2(12 + 4r) = 8(2r + -4) (12 * 2 + 4r * 2) = 8(2r + -4) (24 + 8r) = 8(2r + -4) Reorder the terms: 24 + 8r = 8(-4 + 2r) 24 + 8r = (-4 * 8 + 2r * 8) 24 + 8r = (-32 + 16r) Solving 24 + 8r = -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. 24 + 8r + -16r = -32 + 16r + -16r Combine like terms: 8r + -16r = -8r 24 + -8r = -32 + 16r + -16r Combine like terms: 16r + -16r = 0 24 + -8r = -32 + 0 24 + -8r = -32 Add '-24' to each side of the equation. 24 + -24 + -8r = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -8r = -32 + -24 -8r = -32 + -24 Combine like terms: -32 + -24 = -56 -8r = -56 Divide each side by '-8'. r = 7 Simplifying r = 7
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