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Simplifying 5(2 + -4b) + 6 = 6(5 + -1b) + -1(4b + -6) (2 * 5 + -4b * 5) + 6 = 6(5 + -1b) + -1(4b + -6) (10 + -20b) + 6 = 6(5 + -1b) + -1(4b + -6) Reorder the terms: 10 + 6 + -20b = 6(5 + -1b) + -1(4b + -6) Combine like terms: 10 + 6 = 16 16 + -20b = 6(5 + -1b) + -1(4b + -6) 16 + -20b = (5 * 6 + -1b * 6) + -1(4b + -6) 16 + -20b = (30 + -6b) + -1(4b + -6) Reorder the terms: 16 + -20b = 30 + -6b + -1(-6 + 4b) 16 + -20b = 30 + -6b + (-6 * -1 + 4b * -1) 16 + -20b = 30 + -6b + (6 + -4b) Reorder the terms: 16 + -20b = 30 + 6 + -6b + -4b Combine like terms: 30 + 6 = 36 16 + -20b = 36 + -6b + -4b Combine like terms: -6b + -4b = -10b 16 + -20b = 36 + -10b Solving 16 + -20b = 36 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 16 + -20b + 10b = 36 + -10b + 10b Combine like terms: -20b + 10b = -10b 16 + -10b = 36 + -10b + 10b Combine like terms: -10b + 10b = 0 16 + -10b = 36 + 0 16 + -10b = 36 Add '-16' to each side of the equation. 16 + -16 + -10b = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -10b = 36 + -16 -10b = 36 + -16 Combine like terms: 36 + -16 = 20 -10b = 20 Divide each side by '-10'. b = -2 Simplifying b = -2
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