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Simplifying 2(1 + 2b) + -4(7 + -4b) = -46 (1 * 2 + 2b * 2) + -4(7 + -4b) = -46 (2 + 4b) + -4(7 + -4b) = -46 2 + 4b + (7 * -4 + -4b * -4) = -46 2 + 4b + (-28 + 16b) = -46 Reorder the terms: 2 + -28 + 4b + 16b = -46 Combine like terms: 2 + -28 = -26 -26 + 4b + 16b = -46 Combine like terms: 4b + 16b = 20b -26 + 20b = -46 Solving -26 + 20b = -46 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 20b = -46 + 26 Combine like terms: -26 + 26 = 0 0 + 20b = -46 + 26 20b = -46 + 26 Combine like terms: -46 + 26 = -20 20b = -20 Divide each side by '20'. b = -1 Simplifying b = -1
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