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Simplifying -5 = 6 + 4(b + 9) Reorder the terms: -5 = 6 + 4(9 + b) -5 = 6 + (9 * 4 + b * 4) -5 = 6 + (36 + 4b) Combine like terms: 6 + 36 = 42 -5 = 42 + 4b Solving -5 = 42 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -5 + -4b = 42 + 4b + -4b Combine like terms: 4b + -4b = 0 -5 + -4b = 42 + 0 -5 + -4b = 42 Add '5' to each side of the equation. -5 + 5 + -4b = 42 + 5 Combine like terms: -5 + 5 = 0 0 + -4b = 42 + 5 -4b = 42 + 5 Combine like terms: 42 + 5 = 47 -4b = 47 Divide each side by '-4'. b = -11.75 Simplifying b = -11.75
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