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Simplifying 4 + 5(9 + -5b) = -12b + -42 4 + (9 * 5 + -5b * 5) = -12b + -42 4 + (45 + -25b) = -12b + -42 Combine like terms: 4 + 45 = 49 49 + -25b = -12b + -42 Reorder the terms: 49 + -25b = -42 + -12b Solving 49 + -25b = -42 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 49 + -25b + 12b = -42 + -12b + 12b Combine like terms: -25b + 12b = -13b 49 + -13b = -42 + -12b + 12b Combine like terms: -12b + 12b = 0 49 + -13b = -42 + 0 49 + -13b = -42 Add '-49' to each side of the equation. 49 + -49 + -13b = -42 + -49 Combine like terms: 49 + -49 = 0 0 + -13b = -42 + -49 -13b = -42 + -49 Combine like terms: -42 + -49 = -91 -13b = -91 Divide each side by '-13'. b = 7 Simplifying b = 7
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