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Simplifying 6 + -4(3b + -2) = 2(b + 5) Reorder the terms: 6 + -4(-2 + 3b) = 2(b + 5) 6 + (-2 * -4 + 3b * -4) = 2(b + 5) 6 + (8 + -12b) = 2(b + 5) Combine like terms: 6 + 8 = 14 14 + -12b = 2(b + 5) Reorder the terms: 14 + -12b = 2(5 + b) 14 + -12b = (5 * 2 + b * 2) 14 + -12b = (10 + 2b) Solving 14 + -12b = 10 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 14 + -12b + -2b = 10 + 2b + -2b Combine like terms: -12b + -2b = -14b 14 + -14b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 14 + -14b = 10 + 0 14 + -14b = 10 Add '-14' to each side of the equation. 14 + -14 + -14b = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -14b = 10 + -14 -14b = 10 + -14 Combine like terms: 10 + -14 = -4 -14b = -4 Divide each side by '-14'. b = 0.2857142857 Simplifying b = 0.2857142857
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