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Simplifying 2(x + 4) + -1(9 + b) = -6 Reorder the terms: 2(4 + x) + -1(9 + b) = -6 (4 * 2 + x * 2) + -1(9 + b) = -6 (8 + 2x) + -1(9 + b) = -6 8 + 2x + (9 * -1 + b * -1) = -6 8 + 2x + (-9 + -1b) = -6 Reorder the terms: 8 + -9 + -1b + 2x = -6 Combine like terms: 8 + -9 = -1 -1 + -1b + 2x = -6 Solving -1 + -1b + 2x = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1b + 1 + 2x = -6 + 1 Reorder the terms: -1 + 1 + -1b + 2x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -1b + 2x = -6 + 1 -1b + 2x = -6 + 1 Combine like terms: -6 + 1 = -5 -1b + 2x = -5 Add '-2x' to each side of the equation. -1b + 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 -1b + 0 = -5 + -2x -1b = -5 + -2x Divide each side by '-1'. b = 5 + 2x Simplifying b = 5 + 2x
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