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Simplifying 364 = 8b + -5(8b + 4) Reorder the terms: 364 = 8b + -5(4 + 8b) 364 = 8b + (4 * -5 + 8b * -5) 364 = 8b + (-20 + -40b) Reorder the terms: 364 = -20 + 8b + -40b Combine like terms: 8b + -40b = -32b 364 = -20 + -32b Solving 364 = -20 + -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. 364 + 32b = -20 + -32b + 32b Combine like terms: -32b + 32b = 0 364 + 32b = -20 + 0 364 + 32b = -20 Add '-364' to each side of the equation. 364 + -364 + 32b = -20 + -364 Combine like terms: 364 + -364 = 0 0 + 32b = -20 + -364 32b = -20 + -364 Combine like terms: -20 + -364 = -384 32b = -384 Divide each side by '32'. b = -12 Simplifying b = -12
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