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Simplifying -8b + -6(b + -7) = -2b + -2(2b + 7) Reorder the terms: -8b + -6(-7 + b) = -2b + -2(2b + 7) -8b + (-7 * -6 + b * -6) = -2b + -2(2b + 7) -8b + (42 + -6b) = -2b + -2(2b + 7) Reorder the terms: 42 + -8b + -6b = -2b + -2(2b + 7) Combine like terms: -8b + -6b = -14b 42 + -14b = -2b + -2(2b + 7) Reorder the terms: 42 + -14b = -2b + -2(7 + 2b) 42 + -14b = -2b + (7 * -2 + 2b * -2) 42 + -14b = -2b + (-14 + -4b) Reorder the terms: 42 + -14b = -14 + -2b + -4b Combine like terms: -2b + -4b = -6b 42 + -14b = -14 + -6b Solving 42 + -14b = -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. 42 + -14b + 6b = -14 + -6b + 6b Combine like terms: -14b + 6b = -8b 42 + -8b = -14 + -6b + 6b Combine like terms: -6b + 6b = 0 42 + -8b = -14 + 0 42 + -8b = -14 Add '-42' to each side of the equation. 42 + -42 + -8b = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -8b = -14 + -42 -8b = -14 + -42 Combine like terms: -14 + -42 = -56 -8b = -56 Divide each side by '-8'. b = 7 Simplifying b = 7
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