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Simplifying -7(-6b + -5) = 53 + -5b Reorder the terms: -7(-5 + -6b) = 53 + -5b (-5 * -7 + -6b * -7) = 53 + -5b (35 + 42b) = 53 + -5b Solving 35 + 42b = 53 + -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. 35 + 42b + 5b = 53 + -5b + 5b Combine like terms: 42b + 5b = 47b 35 + 47b = 53 + -5b + 5b Combine like terms: -5b + 5b = 0 35 + 47b = 53 + 0 35 + 47b = 53 Add '-35' to each side of the equation. 35 + -35 + 47b = 53 + -35 Combine like terms: 35 + -35 = 0 0 + 47b = 53 + -35 47b = 53 + -35 Combine like terms: 53 + -35 = 18 47b = 18 Divide each side by '47'. b = 0.3829787234 Simplifying b = 0.3829787234
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