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Simplifying 2(4r + 6) = 4(4r + 2) Reorder the terms: 2(6 + 4r) = 4(4r + 2) (6 * 2 + 4r * 2) = 4(4r + 2) (12 + 8r) = 4(4r + 2) Reorder the terms: 12 + 8r = 4(2 + 4r) 12 + 8r = (2 * 4 + 4r * 4) 12 + 8r = (8 + 16r) Solving 12 + 8r = 8 + 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. 12 + 8r + -16r = 8 + 16r + -16r Combine like terms: 8r + -16r = -8r 12 + -8r = 8 + 16r + -16r Combine like terms: 16r + -16r = 0 12 + -8r = 8 + 0 12 + -8r = 8 Add '-12' to each side of the equation. 12 + -12 + -8r = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -8r = 8 + -12 -8r = 8 + -12 Combine like terms: 8 + -12 = -4 -8r = -4 Divide each side by '-8'. r = 0.5 Simplifying r = 0.5
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