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Simplifying 6b + -7(7 + 5b) = -223 6b + (7 * -7 + 5b * -7) = -223 6b + (-49 + -35b) = -223 Reorder the terms: -49 + 6b + -35b = -223 Combine like terms: 6b + -35b = -29b -49 + -29b = -223 Solving -49 + -29b = -223 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -29b = -223 + 49 Combine like terms: -49 + 49 = 0 0 + -29b = -223 + 49 -29b = -223 + 49 Combine like terms: -223 + 49 = -174 -29b = -174 Divide each side by '-29'. b = 6 Simplifying b = 6
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