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Simplifying 4(2r + 8) = 12r + 12 Reorder the terms: 4(8 + 2r) = 12r + 12 (8 * 4 + 2r * 4) = 12r + 12 (32 + 8r) = 12r + 12 Reorder the terms: 32 + 8r = 12 + 12r Solving 32 + 8r = 12 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 32 + 8r + -12r = 12 + 12r + -12r Combine like terms: 8r + -12r = -4r 32 + -4r = 12 + 12r + -12r Combine like terms: 12r + -12r = 0 32 + -4r = 12 + 0 32 + -4r = 12 Add '-32' to each side of the equation. 32 + -32 + -4r = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4r = 12 + -32 -4r = 12 + -32 Combine like terms: 12 + -32 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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