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Simplifying -7(1 + -5b) = -7(-5b + 8) + 7b (1 * -7 + -5b * -7) = -7(-5b + 8) + 7b (-7 + 35b) = -7(-5b + 8) + 7b Reorder the terms: -7 + 35b = -7(8 + -5b) + 7b -7 + 35b = (8 * -7 + -5b * -7) + 7b -7 + 35b = (-56 + 35b) + 7b Combine like terms: 35b + 7b = 42b -7 + 35b = -56 + 42b Solving -7 + 35b = -56 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. -7 + 35b + -42b = -56 + 42b + -42b Combine like terms: 35b + -42b = -7b -7 + -7b = -56 + 42b + -42b Combine like terms: 42b + -42b = 0 -7 + -7b = -56 + 0 -7 + -7b = -56 Add '7' to each side of the equation. -7 + 7 + -7b = -56 + 7 Combine like terms: -7 + 7 = 0 0 + -7b = -56 + 7 -7b = -56 + 7 Combine like terms: -56 + 7 = -49 -7b = -49 Divide each side by '-7'. b = 7 Simplifying b = 7
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