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Simplifying -4(2b + 9) + 11b = -4(b + 2) Reorder the terms: -4(9 + 2b) + 11b = -4(b + 2) (9 * -4 + 2b * -4) + 11b = -4(b + 2) (-36 + -8b) + 11b = -4(b + 2) Combine like terms: -8b + 11b = 3b -36 + 3b = -4(b + 2) Reorder the terms: -36 + 3b = -4(2 + b) -36 + 3b = (2 * -4 + b * -4) -36 + 3b = (-8 + -4b) Solving -36 + 3b = -8 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -36 + 3b + 4b = -8 + -4b + 4b Combine like terms: 3b + 4b = 7b -36 + 7b = -8 + -4b + 4b Combine like terms: -4b + 4b = 0 -36 + 7b = -8 + 0 -36 + 7b = -8 Add '36' to each side of the equation. -36 + 36 + 7b = -8 + 36 Combine like terms: -36 + 36 = 0 0 + 7b = -8 + 36 7b = -8 + 36 Combine like terms: -8 + 36 = 28 7b = 28 Divide each side by '7'. b = 4 Simplifying b = 4
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