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Simplifying 8(6 + 3r) = -32 + 8r (6 * 8 + 3r * 8) = -32 + 8r (48 + 24r) = -32 + 8r Solving 48 + 24r = -32 + 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. 48 + 24r + -8r = -32 + 8r + -8r Combine like terms: 24r + -8r = 16r 48 + 16r = -32 + 8r + -8r Combine like terms: 8r + -8r = 0 48 + 16r = -32 + 0 48 + 16r = -32 Add '-48' to each side of the equation. 48 + -48 + 16r = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 16r = -32 + -48 16r = -32 + -48 Combine like terms: -32 + -48 = -80 16r = -80 Divide each side by '16'. r = -5 Simplifying r = -5
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