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Simplifying -7(4b + 2) + (29b + -9) = 0 Reorder the terms: -7(2 + 4b) + (29b + -9) = 0 (2 * -7 + 4b * -7) + (29b + -9) = 0 (-14 + -28b) + (29b + -9) = 0 Reorder the terms: -14 + -28b + (-9 + 29b) = 0 Remove parenthesis around (-9 + 29b) -14 + -28b + -9 + 29b = 0 Reorder the terms: -14 + -9 + -28b + 29b = 0 Combine like terms: -14 + -9 = -23 -23 + -28b + 29b = 0 Combine like terms: -28b + 29b = 1b -23 + 1b = 0 Solving -23 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = 0 + 23 1b = 0 + 23 Combine like terms: 0 + 23 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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