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Simplifying -3(2b + 4) + (7b + -5) = 0 Reorder the terms: -3(4 + 2b) + (7b + -5) = 0 (4 * -3 + 2b * -3) + (7b + -5) = 0 (-12 + -6b) + (7b + -5) = 0 Reorder the terms: -12 + -6b + (-5 + 7b) = 0 Remove parenthesis around (-5 + 7b) -12 + -6b + -5 + 7b = 0 Reorder the terms: -12 + -5 + -6b + 7b = 0 Combine like terms: -12 + -5 = -17 -17 + -6b + 7b = 0 Combine like terms: -6b + 7b = 1b -17 + 1b = 0 Solving -17 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = 0 + 17 1b = 0 + 17 Combine like terms: 0 + 17 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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