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Simplifying 2(b + 4) + -1(11 + b) = 8 Reorder the terms: 2(4 + b) + -1(11 + b) = 8 (4 * 2 + b * 2) + -1(11 + b) = 8 (8 + 2b) + -1(11 + b) = 8 8 + 2b + (11 * -1 + b * -1) = 8 8 + 2b + (-11 + -1b) = 8 Reorder the terms: 8 + -11 + 2b + -1b = 8 Combine like terms: 8 + -11 = -3 -3 + 2b + -1b = 8 Combine like terms: 2b + -1b = 1b -3 + 1b = 8 Solving -3 + 1b = 8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1b = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 1b = 8 + 3 1b = 8 + 3 Combine like terms: 8 + 3 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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