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Simplifying -4(6 + -4b) = 10b + 12 (6 * -4 + -4b * -4) = 10b + 12 (-24 + 16b) = 10b + 12 Reorder the terms: -24 + 16b = 12 + 10b Solving -24 + 16b = 12 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -24 + 16b + -10b = 12 + 10b + -10b Combine like terms: 16b + -10b = 6b -24 + 6b = 12 + 10b + -10b Combine like terms: 10b + -10b = 0 -24 + 6b = 12 + 0 -24 + 6b = 12 Add '24' to each side of the equation. -24 + 24 + 6b = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6b = 12 + 24 6b = 12 + 24 Combine like terms: 12 + 24 = 36 6b = 36 Divide each side by '6'. b = 6 Simplifying b = 6
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