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Simplifying 5(2 + -4b) + 6 = (5 + -1b) + -1(4b + -6) (2 * 5 + -4b * 5) + 6 = (5 + -1b) + -1(4b + -6) (10 + -20b) + 6 = (5 + -1b) + -1(4b + -6) Reorder the terms: 10 + 6 + -20b = (5 + -1b) + -1(4b + -6) Combine like terms: 10 + 6 = 16 16 + -20b = (5 + -1b) + -1(4b + -6) Remove parenthesis around (5 + -1b) 16 + -20b = 5 + -1b + -1(4b + -6) Reorder the terms: 16 + -20b = 5 + -1b + -1(-6 + 4b) 16 + -20b = 5 + -1b + (-6 * -1 + 4b * -1) 16 + -20b = 5 + -1b + (6 + -4b) Reorder the terms: 16 + -20b = 5 + 6 + -1b + -4b Combine like terms: 5 + 6 = 11 16 + -20b = 11 + -1b + -4b Combine like terms: -1b + -4b = -5b 16 + -20b = 11 + -5b Solving 16 + -20b = 11 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 16 + -20b + 5b = 11 + -5b + 5b Combine like terms: -20b + 5b = -15b 16 + -15b = 11 + -5b + 5b Combine like terms: -5b + 5b = 0 16 + -15b = 11 + 0 16 + -15b = 11 Add '-16' to each side of the equation. 16 + -16 + -15b = 11 + -16 Combine like terms: 16 + -16 = 0 0 + -15b = 11 + -16 -15b = 11 + -16 Combine like terms: 11 + -16 = -5 -15b = -5 Divide each side by '-15'. b = 0.3333333333 Simplifying b = 0.3333333333
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