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Simplifying -2(3b + 4) + 7b + -1 = 0 Reorder the terms: -2(4 + 3b) + 7b + -1 = 0 (4 * -2 + 3b * -2) + 7b + -1 = 0 (-8 + -6b) + 7b + -1 = 0 Reorder the terms: -8 + -1 + -6b + 7b = 0 Combine like terms: -8 + -1 = -9 -9 + -6b + 7b = 0 Combine like terms: -6b + 7b = 1b -9 + 1b = 0 Solving -9 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = 0 + 9 1b = 0 + 9 Combine like terms: 0 + 9 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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