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Simplifying 8(1 + -4b) + 6(9 + 2b) = 0 (1 * 8 + -4b * 8) + 6(9 + 2b) = 0 (8 + -32b) + 6(9 + 2b) = 0 8 + -32b + (9 * 6 + 2b * 6) = 0 8 + -32b + (54 + 12b) = 0 Reorder the terms: 8 + 54 + -32b + 12b = 0 Combine like terms: 8 + 54 = 62 62 + -32b + 12b = 0 Combine like terms: -32b + 12b = -20b 62 + -20b = 0 Solving 62 + -20b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -20b = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -20b = 0 + -62 -20b = 0 + -62 Combine like terms: 0 + -62 = -62 -20b = -62 Divide each side by '-20'. b = 3.1 Simplifying b = 3.1
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