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Simplifying 249 = 1 + 8(4b + 3) Reorder the terms: 249 = 1 + 8(3 + 4b) 249 = 1 + (3 * 8 + 4b * 8) 249 = 1 + (24 + 32b) Combine like terms: 1 + 24 = 25 249 = 25 + 32b Solving 249 = 25 + 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. 249 + -32b = 25 + 32b + -32b Combine like terms: 32b + -32b = 0 249 + -32b = 25 + 0 249 + -32b = 25 Add '-249' to each side of the equation. 249 + -249 + -32b = 25 + -249 Combine like terms: 249 + -249 = 0 0 + -32b = 25 + -249 -32b = 25 + -249 Combine like terms: 25 + -249 = -224 -32b = -224 Divide each side by '-32'. b = 7 Simplifying b = 7
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