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Simplifying 4(r + 6) = 31 + 3r Reorder the terms: 4(6 + r) = 31 + 3r (6 * 4 + r * 4) = 31 + 3r (24 + 4r) = 31 + 3r Solving 24 + 4r = 31 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 24 + 4r + -3r = 31 + 3r + -3r Combine like terms: 4r + -3r = 1r 24 + 1r = 31 + 3r + -3r Combine like terms: 3r + -3r = 0 24 + 1r = 31 + 0 24 + 1r = 31 Add '-24' to each side of the equation. 24 + -24 + 1r = 31 + -24 Combine like terms: 24 + -24 = 0 0 + 1r = 31 + -24 1r = 31 + -24 Combine like terms: 31 + -24 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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