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Simplifying -11(-3b + -4) + -1 = 11b + -45 Reorder the terms: -11(-4 + -3b) + -1 = 11b + -45 (-4 * -11 + -3b * -11) + -1 = 11b + -45 (44 + 33b) + -1 = 11b + -45 Reorder the terms: 44 + -1 + 33b = 11b + -45 Combine like terms: 44 + -1 = 43 43 + 33b = 11b + -45 Reorder the terms: 43 + 33b = -45 + 11b Solving 43 + 33b = -45 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 43 + 33b + -11b = -45 + 11b + -11b Combine like terms: 33b + -11b = 22b 43 + 22b = -45 + 11b + -11b Combine like terms: 11b + -11b = 0 43 + 22b = -45 + 0 43 + 22b = -45 Add '-43' to each side of the equation. 43 + -43 + 22b = -45 + -43 Combine like terms: 43 + -43 = 0 0 + 22b = -45 + -43 22b = -45 + -43 Combine like terms: -45 + -43 = -88 22b = -88 Divide each side by '22'. b = -4 Simplifying b = -4
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