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Simplifying 162 = -6(5b + -7) Reorder the terms: 162 = -6(-7 + 5b) 162 = (-7 * -6 + 5b * -6) 162 = (42 + -30b) Solving 162 = 42 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. 162 + 30b = 42 + -30b + 30b Combine like terms: -30b + 30b = 0 162 + 30b = 42 + 0 162 + 30b = 42 Add '-162' to each side of the equation. 162 + -162 + 30b = 42 + -162 Combine like terms: 162 + -162 = 0 0 + 30b = 42 + -162 30b = 42 + -162 Combine like terms: 42 + -162 = -120 30b = -120 Divide each side by '30'. b = -4 Simplifying b = -4
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