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Simplifying -7(-6b + -5) = 35 + -5b Reorder the terms: -7(-5 + -6b) = 35 + -5b (-5 * -7 + -6b * -7) = 35 + -5b (35 + 42b) = 35 + -5b Add '-35' to each side of the equation. 35 + -35 + 42b = 35 + -35 + -5b Combine like terms: 35 + -35 = 0 0 + 42b = 35 + -35 + -5b 42b = 35 + -35 + -5b Combine like terms: 35 + -35 = 0 42b = 0 + -5b 42b = -5b Solving 42b = -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. 42b + 5b = -5b + 5b Combine like terms: 42b + 5b = 47b 47b = -5b + 5b Combine like terms: -5b + 5b = 0 47b = 0 Divide each side by '47'. b = 0 Simplifying b = 0
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