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Simplifying -7(2b + -4) = -4(3 + -2b) Reorder the terms: -7(-4 + 2b) = -4(3 + -2b) (-4 * -7 + 2b * -7) = -4(3 + -2b) (28 + -14b) = -4(3 + -2b) 28 + -14b = (3 * -4 + -2b * -4) 28 + -14b = (-12 + 8b) Solving 28 + -14b = -12 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 28 + -14b + -8b = -12 + 8b + -8b Combine like terms: -14b + -8b = -22b 28 + -22b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 28 + -22b = -12 + 0 28 + -22b = -12 Add '-28' to each side of the equation. 28 + -28 + -22b = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -22b = -12 + -28 -22b = -12 + -28 Combine like terms: -12 + -28 = -40 -22b = -40 Divide each side by '-22'. b = 1.818181818 Simplifying b = 1.818181818
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