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Simplifying -43 = 6(b + -4) Reorder the terms: -43 = 6(-4 + b) -43 = (-4 * 6 + b * 6) -43 = (-24 + 6b) Solving -43 = -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. -43 + -6b = -24 + 6b + -6b Combine like terms: 6b + -6b = 0 -43 + -6b = -24 + 0 -43 + -6b = -24 Add '43' to each side of the equation. -43 + 43 + -6b = -24 + 43 Combine like terms: -43 + 43 = 0 0 + -6b = -24 + 43 -6b = -24 + 43 Combine like terms: -24 + 43 = 19 -6b = 19 Divide each side by '-6'. b = -3.166666667 Simplifying b = -3.166666667
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