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Simplifying 4(12 + 4r) = 2(10r + 8) (12 * 4 + 4r * 4) = 2(10r + 8) (48 + 16r) = 2(10r + 8) Reorder the terms: 48 + 16r = 2(8 + 10r) 48 + 16r = (8 * 2 + 10r * 2) 48 + 16r = (16 + 20r) Solving 48 + 16r = 16 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 48 + 16r + -20r = 16 + 20r + -20r Combine like terms: 16r + -20r = -4r 48 + -4r = 16 + 20r + -20r Combine like terms: 20r + -20r = 0 48 + -4r = 16 + 0 48 + -4r = 16 Add '-48' to each side of the equation. 48 + -48 + -4r = 16 + -48 Combine like terms: 48 + -48 = 0 0 + -4r = 16 + -48 -4r = 16 + -48 Combine like terms: 16 + -48 = -32 -4r = -32 Divide each side by '-4'. r = 8 Simplifying r = 8
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