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Simplifying -7(1 + -4b) = 7b + 7(4b + -1) (1 * -7 + -4b * -7) = 7b + 7(4b + -1) (-7 + 28b) = 7b + 7(4b + -1) Reorder the terms: -7 + 28b = 7b + 7(-1 + 4b) -7 + 28b = 7b + (-1 * 7 + 4b * 7) -7 + 28b = 7b + (-7 + 28b) Reorder the terms: -7 + 28b = -7 + 7b + 28b Combine like terms: 7b + 28b = 35b -7 + 28b = -7 + 35b Add '7' to each side of the equation. -7 + 7 + 28b = -7 + 7 + 35b Combine like terms: -7 + 7 = 0 0 + 28b = -7 + 7 + 35b 28b = -7 + 7 + 35b Combine like terms: -7 + 7 = 0 28b = 0 + 35b 28b = 35b Solving 28b = 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. 28b + -35b = 35b + -35b Combine like terms: 28b + -35b = -7b -7b = 35b + -35b Combine like terms: 35b + -35b = 0 -7b = 0 Divide each side by '-7'. b = 0 Simplifying b = 0
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