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Simplifying 200 = 8(1 + 4b) 200 = (1 * 8 + 4b * 8) 200 = (8 + 32b) Solving 200 = 8 + 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. 200 + -32b = 8 + 32b + -32b Combine like terms: 32b + -32b = 0 200 + -32b = 8 + 0 200 + -32b = 8 Add '-200' to each side of the equation. 200 + -200 + -32b = 8 + -200 Combine like terms: 200 + -200 = 0 0 + -32b = 8 + -200 -32b = 8 + -200 Combine like terms: 8 + -200 = -192 -32b = -192 Divide each side by '-32'. b = 6 Simplifying b = 6
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