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Simplifying -7b + -1 = -5(b + 5) Reorder the terms: -1 + -7b = -5(b + 5) Reorder the terms: -1 + -7b = -5(5 + b) -1 + -7b = (5 * -5 + b * -5) -1 + -7b = (-25 + -5b) Solving -1 + -7b = -25 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -1 + -7b + 5b = -25 + -5b + 5b Combine like terms: -7b + 5b = -2b -1 + -2b = -25 + -5b + 5b Combine like terms: -5b + 5b = 0 -1 + -2b = -25 + 0 -1 + -2b = -25 Add '1' to each side of the equation. -1 + 1 + -2b = -25 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = -25 + 1 -2b = -25 + 1 Combine like terms: -25 + 1 = -24 -2b = -24 Divide each side by '-2'. b = 12 Simplifying b = 12
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