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Simplifying 7 + -2b = 7(6b + 1) Reorder the terms: 7 + -2b = 7(1 + 6b) 7 + -2b = (1 * 7 + 6b * 7) 7 + -2b = (7 + 42b) Add '-7' to each side of the equation. 7 + -7 + -2b = 7 + -7 + 42b Combine like terms: 7 + -7 = 0 0 + -2b = 7 + -7 + 42b -2b = 7 + -7 + 42b Combine like terms: 7 + -7 = 0 -2b = 0 + 42b -2b = 42b Solving -2b = 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. -2b + -42b = 42b + -42b Combine like terms: -2b + -42b = -44b -44b = 42b + -42b Combine like terms: 42b + -42b = 0 -44b = 0 Divide each side by '-44'. b = 0 Simplifying b = 0
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