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Simplifying -51 = 6b + 5(1 + -4b) -51 = 6b + (1 * 5 + -4b * 5) -51 = 6b + (5 + -20b) Reorder the terms: -51 = 5 + 6b + -20b Combine like terms: 6b + -20b = -14b -51 = 5 + -14b Solving -51 = 5 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -51 + 14b = 5 + -14b + 14b Combine like terms: -14b + 14b = 0 -51 + 14b = 5 + 0 -51 + 14b = 5 Add '51' to each side of the equation. -51 + 51 + 14b = 5 + 51 Combine like terms: -51 + 51 = 0 0 + 14b = 5 + 51 14b = 5 + 51 Combine like terms: 5 + 51 = 56 14b = 56 Divide each side by '14'. b = 4 Simplifying b = 4
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