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Simplifying -162 = 6(1 + 7b) -162 = (1 * 6 + 7b * 6) -162 = (6 + 42b) Solving -162 = 6 + 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. -162 + -42b = 6 + 42b + -42b Combine like terms: 42b + -42b = 0 -162 + -42b = 6 + 0 -162 + -42b = 6 Add '162' to each side of the equation. -162 + 162 + -42b = 6 + 162 Combine like terms: -162 + 162 = 0 0 + -42b = 6 + 162 -42b = 6 + 162 Combine like terms: 6 + 162 = 168 -42b = 168 Divide each side by '-42'. b = -4 Simplifying b = -4
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