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Simplifying -7b + -1 = (-5)(b + 3) Reorder the terms: -1 + -7b = (-5)(b + 3) Reorder the terms: -1 + -7b = -5(3 + b) -1 + -7b = (3 * -5 + b * -5) -1 + -7b = (-15 + -5b) Solving -1 + -7b = -15 + -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 = -15 + -5b + 5b Combine like terms: -7b + 5b = -2b -1 + -2b = -15 + -5b + 5b Combine like terms: -5b + 5b = 0 -1 + -2b = -15 + 0 -1 + -2b = -15 Add '1' to each side of the equation. -1 + 1 + -2b = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = -15 + 1 -2b = -15 + 1 Combine like terms: -15 + 1 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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