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Simplifying 2(-5b + 4) = -6(1 + 2b) Reorder the terms: 2(4 + -5b) = -6(1 + 2b) (4 * 2 + -5b * 2) = -6(1 + 2b) (8 + -10b) = -6(1 + 2b) 8 + -10b = (1 * -6 + 2b * -6) 8 + -10b = (-6 + -12b) Solving 8 + -10b = -6 + -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. 8 + -10b + 12b = -6 + -12b + 12b Combine like terms: -10b + 12b = 2b 8 + 2b = -6 + -12b + 12b Combine like terms: -12b + 12b = 0 8 + 2b = -6 + 0 8 + 2b = -6 Add '-8' to each side of the equation. 8 + -8 + 2b = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2b = -6 + -8 2b = -6 + -8 Combine like terms: -6 + -8 = -14 2b = -14 Divide each side by '2'. b = -7 Simplifying b = -7
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