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Simplifying -4b + 2(2 + 5b) = -1(7 + -7b) -4b + (2 * 2 + 5b * 2) = -1(7 + -7b) -4b + (4 + 10b) = -1(7 + -7b) Reorder the terms: 4 + -4b + 10b = -1(7 + -7b) Combine like terms: -4b + 10b = 6b 4 + 6b = -1(7 + -7b) 4 + 6b = (7 * -1 + -7b * -1) 4 + 6b = (-7 + 7b) Solving 4 + 6b = -7 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 4 + 6b + -7b = -7 + 7b + -7b Combine like terms: 6b + -7b = -1b 4 + -1b = -7 + 7b + -7b Combine like terms: 7b + -7b = 0 4 + -1b = -7 + 0 4 + -1b = -7 Add '-4' to each side of the equation. 4 + -4 + -1b = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -7 + -4 -1b = -7 + -4 Combine like terms: -7 + -4 = -11 -1b = -11 Divide each side by '-1'. b = 11 Simplifying b = 11
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