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