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Simplifying -4b + 2(3 + f) = -14 -4b + (3 * 2 + f * 2) = -14 -4b + (6 + 2f) = -14 Reorder the terms: 6 + -4b + 2f = -14 Solving 6 + -4b + 2f = -14 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4b + -6 + 2f = -14 + -6 Reorder the terms: 6 + -6 + -4b + 2f = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4b + 2f = -14 + -6 -4b + 2f = -14 + -6 Combine like terms: -14 + -6 = -20 -4b + 2f = -20 Add '-2f' to each side of the equation. -4b + 2f + -2f = -20 + -2f Combine like terms: 2f + -2f = 0 -4b + 0 = -20 + -2f -4b = -20 + -2f Divide each side by '-4'. b = 5 + 0.5f Simplifying b = 5 + 0.5f
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