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Simplifying (b + 2) * 4 = 6b + -8 + 2b Reorder the terms: (2 + b) * 4 = 6b + -8 + 2b Reorder the terms for easier multiplication: 4(2 + b) = 6b + -8 + 2b (2 * 4 + b * 4) = 6b + -8 + 2b (8 + 4b) = 6b + -8 + 2b Reorder the terms: 8 + 4b = -8 + 6b + 2b Combine like terms: 6b + 2b = 8b 8 + 4b = -8 + 8b Solving 8 + 4b = -8 + 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. 8 + 4b + -8b = -8 + 8b + -8b Combine like terms: 4b + -8b = -4b 8 + -4b = -8 + 8b + -8b Combine like terms: 8b + -8b = 0 8 + -4b = -8 + 0 8 + -4b = -8 Add '-8' to each side of the equation. 8 + -8 + -4b = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4b = -8 + -8 -4b = -8 + -8 Combine like terms: -8 + -8 = -16 -4b = -16 Divide each side by '-4'. b = 4 Simplifying b = 4
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