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Simplifying -4b + -6(2b + -1) = -11(2b + -12) Reorder the terms: -4b + -6(-1 + 2b) = -11(2b + -12) -4b + (-1 * -6 + 2b * -6) = -11(2b + -12) -4b + (6 + -12b) = -11(2b + -12) Reorder the terms: 6 + -4b + -12b = -11(2b + -12) Combine like terms: -4b + -12b = -16b 6 + -16b = -11(2b + -12) Reorder the terms: 6 + -16b = -11(-12 + 2b) 6 + -16b = (-12 * -11 + 2b * -11) 6 + -16b = (132 + -22b) Solving 6 + -16b = 132 + -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. 6 + -16b + 22b = 132 + -22b + 22b Combine like terms: -16b + 22b = 6b 6 + 6b = 132 + -22b + 22b Combine like terms: -22b + 22b = 0 6 + 6b = 132 + 0 6 + 6b = 132 Add '-6' to each side of the equation. 6 + -6 + 6b = 132 + -6 Combine like terms: 6 + -6 = 0 0 + 6b = 132 + -6 6b = 132 + -6 Combine like terms: 132 + -6 = 126 6b = 126 Divide each side by '6'. b = 21 Simplifying b = 21
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