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Simplifying 22 + -2b = -8(4b + 9) Reorder the terms: 22 + -2b = -8(9 + 4b) 22 + -2b = (9 * -8 + 4b * -8) 22 + -2b = (-72 + -32b) Solving 22 + -2b = -72 + -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. 22 + -2b + 32b = -72 + -32b + 32b Combine like terms: -2b + 32b = 30b 22 + 30b = -72 + -32b + 32b Combine like terms: -32b + 32b = 0 22 + 30b = -72 + 0 22 + 30b = -72 Add '-22' to each side of the equation. 22 + -22 + 30b = -72 + -22 Combine like terms: 22 + -22 = 0 0 + 30b = -72 + -22 30b = -72 + -22 Combine like terms: -72 + -22 = -94 30b = -94 Divide each side by '30'. b = -3.133333333 Simplifying b = -3.133333333
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