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Simplifying 8(3r + 1) = 21 + (8r + -5) Reorder the terms: 8(1 + 3r) = 21 + (8r + -5) (1 * 8 + 3r * 8) = 21 + (8r + -5) (8 + 24r) = 21 + (8r + -5) Reorder the terms: 8 + 24r = 21 + (-5 + 8r) Remove parenthesis around (-5 + 8r) 8 + 24r = 21 + -5 + 8r Combine like terms: 21 + -5 = 16 8 + 24r = 16 + 8r Solving 8 + 24r = 16 + 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. 8 + 24r + -8r = 16 + 8r + -8r Combine like terms: 24r + -8r = 16r 8 + 16r = 16 + 8r + -8r Combine like terms: 8r + -8r = 0 8 + 16r = 16 + 0 8 + 16r = 16 Add '-8' to each side of the equation. 8 + -8 + 16r = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 16r = 16 + -8 16r = 16 + -8 Combine like terms: 16 + -8 = 8 16r = 8 Divide each side by '16'. r = 0.5 Simplifying r = 0.5
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