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Simplifying 3(8 + -2b) = -3(4b + -11) (8 * 3 + -2b * 3) = -3(4b + -11) (24 + -6b) = -3(4b + -11) Reorder the terms: 24 + -6b = -3(-11 + 4b) 24 + -6b = (-11 * -3 + 4b * -3) 24 + -6b = (33 + -12b) Solving 24 + -6b = 33 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 24 + -6b + 12b = 33 + -12b + 12b Combine like terms: -6b + 12b = 6b 24 + 6b = 33 + -12b + 12b Combine like terms: -12b + 12b = 0 24 + 6b = 33 + 0 24 + 6b = 33 Add '-24' to each side of the equation. 24 + -24 + 6b = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 6b = 33 + -24 6b = 33 + -24 Combine like terms: 33 + -24 = 9 6b = 9 Divide each side by '6'. b = 1.5 Simplifying b = 1.5
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