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Simplifying 47 = 9 + -4r + 6 + 12r Reorder the terms: 47 = 9 + 6 + -4r + 12r Combine like terms: 9 + 6 = 15 47 = 15 + -4r + 12r Combine like terms: -4r + 12r = 8r 47 = 15 + 8r Solving 47 = 15 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 47 + -8r = 15 + 8r + -8r Combine like terms: 8r + -8r = 0 47 + -8r = 15 + 0 47 + -8r = 15 Add '-47' to each side of the equation. 47 + -47 + -8r = 15 + -47 Combine like terms: 47 + -47 = 0 0 + -8r = 15 + -47 -8r = 15 + -47 Combine like terms: 15 + -47 = -32 -8r = -32 Divide each side by '-8'. r = 4 Simplifying r = 4
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