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Simplifying -7(4b + 1) + (29b + -9) = 0 Reorder the terms: -7(1 + 4b) + (29b + -9) = 0 (1 * -7 + 4b * -7) + (29b + -9) = 0 (-7 + -28b) + (29b + -9) = 0 Reorder the terms: -7 + -28b + (-9 + 29b) = 0 Remove parenthesis around (-9 + 29b) -7 + -28b + -9 + 29b = 0 Reorder the terms: -7 + -9 + -28b + 29b = 0 Combine like terms: -7 + -9 = -16 -16 + -28b + 29b = 0 Combine like terms: -28b + 29b = 1b -16 + 1b = 0 Solving -16 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = 0 + 16 1b = 0 + 16 Combine like terms: 0 + 16 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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