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Simplifying b + -7(b + 2) = 6b + 14 Reorder the terms: b + -7(2 + b) = 6b + 14 b + (2 * -7 + b * -7) = 6b + 14 b + (-14 + -7b) = 6b + 14 Reorder the terms: -14 + b + -7b = 6b + 14 Combine like terms: b + -7b = -6b -14 + -6b = 6b + 14 Reorder the terms: -14 + -6b = 14 + 6b Solving -14 + -6b = 14 + 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 + -6b + -6b = 14 + 6b + -6b Combine like terms: -6b + -6b = -12b -14 + -12b = 14 + 6b + -6b Combine like terms: 6b + -6b = 0 -14 + -12b = 14 + 0 -14 + -12b = 14 Add '14' to each side of the equation. -14 + 14 + -12b = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -12b = 14 + 14 -12b = 14 + 14 Combine like terms: 14 + 14 = 28 -12b = 28 Divide each side by '-12'. b = -2.333333333 Simplifying b = -2.333333333
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