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Simplifying 5(4b + -1) = 3(2b + 4) Reorder the terms: 5(-1 + 4b) = 3(2b + 4) (-1 * 5 + 4b * 5) = 3(2b + 4) (-5 + 20b) = 3(2b + 4) Reorder the terms: -5 + 20b = 3(4 + 2b) -5 + 20b = (4 * 3 + 2b * 3) -5 + 20b = (12 + 6b) Solving -5 + 20b = 12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -5 + 20b + -6b = 12 + 6b + -6b Combine like terms: 20b + -6b = 14b -5 + 14b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 -5 + 14b = 12 + 0 -5 + 14b = 12 Add '5' to each side of the equation. -5 + 5 + 14b = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 14b = 12 + 5 14b = 12 + 5 Combine like terms: 12 + 5 = 17 14b = 17 Divide each side by '14'. b = 1.214285714 Simplifying b = 1.214285714
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