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Simplifying -5b + 27 = -2(-3 + 4b) Reorder the terms: 27 + -5b = -2(-3 + 4b) 27 + -5b = (-3 * -2 + 4b * -2) 27 + -5b = (6 + -8b) Solving 27 + -5b = 6 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 27 + -5b + 8b = 6 + -8b + 8b Combine like terms: -5b + 8b = 3b 27 + 3b = 6 + -8b + 8b Combine like terms: -8b + 8b = 0 27 + 3b = 6 + 0 27 + 3b = 6 Add '-27' to each side of the equation. 27 + -27 + 3b = 6 + -27 Combine like terms: 27 + -27 = 0 0 + 3b = 6 + -27 3b = 6 + -27 Combine like terms: 6 + -27 = -21 3b = -21 Divide each side by '3'. b = -7 Simplifying b = -7
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