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Simplifying 198 = 6b + -5(1 + 7b) 198 = 6b + (1 * -5 + 7b * -5) 198 = 6b + (-5 + -35b) Reorder the terms: 198 = -5 + 6b + -35b Combine like terms: 6b + -35b = -29b 198 = -5 + -29b Solving 198 = -5 + -29b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29b' to each side of the equation. 198 + 29b = -5 + -29b + 29b Combine like terms: -29b + 29b = 0 198 + 29b = -5 + 0 198 + 29b = -5 Add '-198' to each side of the equation. 198 + -198 + 29b = -5 + -198 Combine like terms: 198 + -198 = 0 0 + 29b = -5 + -198 29b = -5 + -198 Combine like terms: -5 + -198 = -203 29b = -203 Divide each side by '29'. b = -7 Simplifying b = -7
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