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Simplifying -7(2b + -4) = 4(-2b + 6) Reorder the terms: -7(-4 + 2b) = 4(-2b + 6) (-4 * -7 + 2b * -7) = 4(-2b + 6) (28 + -14b) = 4(-2b + 6) Reorder the terms: 28 + -14b = 4(6 + -2b) 28 + -14b = (6 * 4 + -2b * 4) 28 + -14b = (24 + -8b) Solving 28 + -14b = 24 + -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 = 24 + -8b + 8b Combine like terms: -14b + 8b = -6b 28 + -6b = 24 + -8b + 8b Combine like terms: -8b + 8b = 0 28 + -6b = 24 + 0 28 + -6b = 24 Add '-28' to each side of the equation. 28 + -28 + -6b = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -6b = 24 + -28 -6b = 24 + -28 Combine like terms: 24 + -28 = -4 -6b = -4 Divide each side by '-6'. b = 0.6666666667 Simplifying b = 0.6666666667
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