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Simplifying 2(2 + -1b) + -4(2 + -3b) = 16 (2 * 2 + -1b * 2) + -4(2 + -3b) = 16 (4 + -2b) + -4(2 + -3b) = 16 4 + -2b + (2 * -4 + -3b * -4) = 16 4 + -2b + (-8 + 12b) = 16 Reorder the terms: 4 + -8 + -2b + 12b = 16 Combine like terms: 4 + -8 = -4 -4 + -2b + 12b = 16 Combine like terms: -2b + 12b = 10b -4 + 10b = 16 Solving -4 + 10b = 16 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 10b = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 10b = 16 + 4 10b = 16 + 4 Combine like terms: 16 + 4 = 20 10b = 20 Divide each side by '10'. b = 2 Simplifying b = 2
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