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