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Simplifying -6(b + -4) = 21 + -7b Reorder the terms: -6(-4 + b) = 21 + -7b (-4 * -6 + b * -6) = 21 + -7b (24 + -6b) = 21 + -7b Solving 24 + -6b = 21 + -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. 24 + -6b + 7b = 21 + -7b + 7b Combine like terms: -6b + 7b = 1b 24 + 1b = 21 + -7b + 7b Combine like terms: -7b + 7b = 0 24 + 1b = 21 + 0 24 + 1b = 21 Add '-24' to each side of the equation. 24 + -24 + 1b = 21 + -24 Combine like terms: 24 + -24 = 0 0 + 1b = 21 + -24 1b = 21 + -24 Combine like terms: 21 + -24 = -3 1b = -3 Divide each side by '1'. b = -3 Simplifying b = -3
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