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Simplifying 3(b + 4) = 4(2b + -3) Reorder the terms: 3(4 + b) = 4(2b + -3) (4 * 3 + b * 3) = 4(2b + -3) (12 + 3b) = 4(2b + -3) Reorder the terms: 12 + 3b = 4(-3 + 2b) 12 + 3b = (-3 * 4 + 2b * 4) 12 + 3b = (-12 + 8b) Solving 12 + 3b = -12 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 12 + 3b + -8b = -12 + 8b + -8b Combine like terms: 3b + -8b = -5b 12 + -5b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 12 + -5b = -12 + 0 12 + -5b = -12 Add '-12' to each side of the equation. 12 + -12 + -5b = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -5b = -12 + -12 -5b = -12 + -12 Combine like terms: -12 + -12 = -24 -5b = -24 Divide each side by '-5'. b = 4.8 Simplifying b = 4.8
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