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Simplifying 2(4 + -1b) + 2(2 + -2b) = 9 (4 * 2 + -1b * 2) + 2(2 + -2b) = 9 (8 + -2b) + 2(2 + -2b) = 9 8 + -2b + (2 * 2 + -2b * 2) = 9 8 + -2b + (4 + -4b) = 9 Reorder the terms: 8 + 4 + -2b + -4b = 9 Combine like terms: 8 + 4 = 12 12 + -2b + -4b = 9 Combine like terms: -2b + -4b = -6b 12 + -6b = 9 Solving 12 + -6b = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6b = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -6b = 9 + -12 -6b = 9 + -12 Combine like terms: 9 + -12 = -3 -6b = -3 Divide each side by '-6'. b = 0.5 Simplifying b = 0.5
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