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Simplifying -11(b + 3) = -11(2b + 11) Reorder the terms: -11(3 + b) = -11(2b + 11) (3 * -11 + b * -11) = -11(2b + 11) (-33 + -11b) = -11(2b + 11) Reorder the terms: -33 + -11b = -11(11 + 2b) -33 + -11b = (11 * -11 + 2b * -11) -33 + -11b = (-121 + -22b) Solving -33 + -11b = -121 + -22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22b' to each side of the equation. -33 + -11b + 22b = -121 + -22b + 22b Combine like terms: -11b + 22b = 11b -33 + 11b = -121 + -22b + 22b Combine like terms: -22b + 22b = 0 -33 + 11b = -121 + 0 -33 + 11b = -121 Add '33' to each side of the equation. -33 + 33 + 11b = -121 + 33 Combine like terms: -33 + 33 = 0 0 + 11b = -121 + 33 11b = -121 + 33 Combine like terms: -121 + 33 = -88 11b = -88 Divide each side by '11'. b = -8 Simplifying b = -8
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