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Simplifying 11(b + 4) = -6(b + 4) Reorder the terms: 11(4 + b) = -6(b + 4) (4 * 11 + b * 11) = -6(b + 4) (44 + 11b) = -6(b + 4) Reorder the terms: 44 + 11b = -6(4 + b) 44 + 11b = (4 * -6 + b * -6) 44 + 11b = (-24 + -6b) Solving 44 + 11b = -24 + -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. 44 + 11b + 6b = -24 + -6b + 6b Combine like terms: 11b + 6b = 17b 44 + 17b = -24 + -6b + 6b Combine like terms: -6b + 6b = 0 44 + 17b = -24 + 0 44 + 17b = -24 Add '-44' to each side of the equation. 44 + -44 + 17b = -24 + -44 Combine like terms: 44 + -44 = 0 0 + 17b = -24 + -44 17b = -24 + -44 Combine like terms: -24 + -44 = -68 17b = -68 Divide each side by '17'. b = -4 Simplifying b = -4
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