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Simplifying 6 + 4(2b + 6) = 40 + -6b Reorder the terms: 6 + 4(6 + 2b) = 40 + -6b 6 + (6 * 4 + 2b * 4) = 40 + -6b 6 + (24 + 8b) = 40 + -6b Combine like terms: 6 + 24 = 30 30 + 8b = 40 + -6b Solving 30 + 8b = 40 + -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. 30 + 8b + 6b = 40 + -6b + 6b Combine like terms: 8b + 6b = 14b 30 + 14b = 40 + -6b + 6b Combine like terms: -6b + 6b = 0 30 + 14b = 40 + 0 30 + 14b = 40 Add '-30' to each side of the equation. 30 + -30 + 14b = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 14b = 40 + -30 14b = 40 + -30 Combine like terms: 40 + -30 = 10 14b = 10 Divide each side by '14'. b = 0.7142857143 Simplifying b = 0.7142857143
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