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Simplifying 2(3b + -8) = 24 + 3b + -3 Reorder the terms: 2(-8 + 3b) = 24 + 3b + -3 (-8 * 2 + 3b * 2) = 24 + 3b + -3 (-16 + 6b) = 24 + 3b + -3 Reorder the terms: -16 + 6b = 24 + -3 + 3b Combine like terms: 24 + -3 = 21 -16 + 6b = 21 + 3b Solving -16 + 6b = 21 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -16 + 6b + -3b = 21 + 3b + -3b Combine like terms: 6b + -3b = 3b -16 + 3b = 21 + 3b + -3b Combine like terms: 3b + -3b = 0 -16 + 3b = 21 + 0 -16 + 3b = 21 Add '16' to each side of the equation. -16 + 16 + 3b = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 3b = 21 + 16 3b = 21 + 16 Combine like terms: 21 + 16 = 37 3b = 37 Divide each side by '3'. b = 12.33333333 Simplifying b = 12.33333333
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