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Simplifying -7(4b + 3) + (29b + -9) = 0 Reorder the terms: -7(3 + 4b) + (29b + -9) = 0 (3 * -7 + 4b * -7) + (29b + -9) = 0 (-21 + -28b) + (29b + -9) = 0 Reorder the terms: -21 + -28b + (-9 + 29b) = 0 Remove parenthesis around (-9 + 29b) -21 + -28b + -9 + 29b = 0 Reorder the terms: -21 + -9 + -28b + 29b = 0 Combine like terms: -21 + -9 = -30 -30 + -28b + 29b = 0 Combine like terms: -28b + 29b = 1b -30 + 1b = 0 Solving -30 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = 0 + 30 1b = 0 + 30 Combine like terms: 0 + 30 = 30 1b = 30 Divide each side by '1'. b = 30 Simplifying b = 30
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