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Simplifying -5b + -1(4b + 5) = 7 + -6b Reorder the terms: -5b + -1(5 + 4b) = 7 + -6b -5b + (5 * -1 + 4b * -1) = 7 + -6b -5b + (-5 + -4b) = 7 + -6b Reorder the terms: -5 + -5b + -4b = 7 + -6b Combine like terms: -5b + -4b = -9b -5 + -9b = 7 + -6b Solving -5 + -9b = 7 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -5 + -9b + 6b = 7 + -6b + 6b Combine like terms: -9b + 6b = -3b -5 + -3b = 7 + -6b + 6b Combine like terms: -6b + 6b = 0 -5 + -3b = 7 + 0 -5 + -3b = 7 Add '5' to each side of the equation. -5 + 5 + -3b = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -3b = 7 + 5 -3b = 7 + 5 Combine like terms: 7 + 5 = 12 -3b = 12 Divide each side by '-3'. b = -4 Simplifying b = -4
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