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Simplifying 1 + -6b = 7 + -2(4b + -2) Reorder the terms: 1 + -6b = 7 + -2(-2 + 4b) 1 + -6b = 7 + (-2 * -2 + 4b * -2) 1 + -6b = 7 + (4 + -8b) Combine like terms: 7 + 4 = 11 1 + -6b = 11 + -8b Solving 1 + -6b = 11 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 1 + -6b + 8b = 11 + -8b + 8b Combine like terms: -6b + 8b = 2b 1 + 2b = 11 + -8b + 8b Combine like terms: -8b + 8b = 0 1 + 2b = 11 + 0 1 + 2b = 11 Add '-1' to each side of the equation. 1 + -1 + 2b = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 11 + -1 2b = 11 + -1 Combine like terms: 11 + -1 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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