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Simplifying -4(4 + -3b) = 6b + 2 (4 * -4 + -3b * -4) = 6b + 2 (-16 + 12b) = 6b + 2 Reorder the terms: -16 + 12b = 2 + 6b Solving -16 + 12b = 2 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -16 + 12b + -6b = 2 + 6b + -6b Combine like terms: 12b + -6b = 6b -16 + 6b = 2 + 6b + -6b Combine like terms: 6b + -6b = 0 -16 + 6b = 2 + 0 -16 + 6b = 2 Add '16' to each side of the equation. -16 + 16 + 6b = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 6b = 2 + 16 6b = 2 + 16 Combine like terms: 2 + 16 = 18 6b = 18 Divide each side by '6'. b = 3 Simplifying b = 3
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