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Simplifying 4[2b + -4] = 7b + 2 Reorder the terms: 4[-4 + 2b] = 7b + 2 [-4 * 4 + 2b * 4] = 7b + 2 [-16 + 8b] = 7b + 2 Reorder the terms: -16 + 8b = 2 + 7b Solving -16 + 8b = 2 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -16 + 8b + -7b = 2 + 7b + -7b Combine like terms: 8b + -7b = 1b -16 + 1b = 2 + 7b + -7b Combine like terms: 7b + -7b = 0 -16 + 1b = 2 + 0 -16 + 1b = 2 Add '16' to each side of the equation. -16 + 16 + 1b = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = 2 + 16 1b = 2 + 16 Combine like terms: 2 + 16 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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