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Simplifying -4(1 + -1b) = 11 + 7b (1 * -4 + -1b * -4) = 11 + 7b (-4 + 4b) = 11 + 7b Solving -4 + 4b = 11 + 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 + 4b + -7b = 11 + 7b + -7b Combine like terms: 4b + -7b = -3b -4 + -3b = 11 + 7b + -7b Combine like terms: 7b + -7b = 0 -4 + -3b = 11 + 0 -4 + -3b = 11 Add '4' to each side of the equation. -4 + 4 + -3b = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -3b = 11 + 4 -3b = 11 + 4 Combine like terms: 11 + 4 = 15 -3b = 15 Divide each side by '-3'. b = -5 Simplifying b = -5
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