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Simplifying -2(4b + 4 + 6b) + 3(7 + -5b) = 0 Reorder the terms: -2(4 + 4b + 6b) + 3(7 + -5b) = 0 Combine like terms: 4b + 6b = 10b -2(4 + 10b) + 3(7 + -5b) = 0 (4 * -2 + 10b * -2) + 3(7 + -5b) = 0 (-8 + -20b) + 3(7 + -5b) = 0 -8 + -20b + (7 * 3 + -5b * 3) = 0 -8 + -20b + (21 + -15b) = 0 Reorder the terms: -8 + 21 + -20b + -15b = 0 Combine like terms: -8 + 21 = 13 13 + -20b + -15b = 0 Combine like terms: -20b + -15b = -35b 13 + -35b = 0 Solving 13 + -35b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -35b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -35b = 0 + -13 -35b = 0 + -13 Combine like terms: 0 + -13 = -13 -35b = -13 Divide each side by '-35'. b = 0.3714285714 Simplifying b = 0.3714285714
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