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Simplifying 7(b + -2) = -19 + 6b Reorder the terms: 7(-2 + b) = -19 + 6b (-2 * 7 + b * 7) = -19 + 6b (-14 + 7b) = -19 + 6b Solving -14 + 7b = -19 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -14 + 7b + -6b = -19 + 6b + -6b Combine like terms: 7b + -6b = 1b -14 + 1b = -19 + 6b + -6b Combine like terms: 6b + -6b = 0 -14 + 1b = -19 + 0 -14 + 1b = -19 Add '14' to each side of the equation. -14 + 14 + 1b = -19 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -19 + 14 1b = -19 + 14 Combine like terms: -19 + 14 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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