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Simplifying -7(4b + 1) + (29b + -4) = 0 Reorder the terms: -7(1 + 4b) + (29b + -4) = 0 (1 * -7 + 4b * -7) + (29b + -4) = 0 (-7 + -28b) + (29b + -4) = 0 Reorder the terms: -7 + -28b + (-4 + 29b) = 0 Remove parenthesis around (-4 + 29b) -7 + -28b + -4 + 29b = 0 Reorder the terms: -7 + -4 + -28b + 29b = 0 Combine like terms: -7 + -4 = -11 -11 + -28b + 29b = 0 Combine like terms: -28b + 29b = 1b -11 + 1b = 0 Solving -11 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = 0 + 11 1b = 0 + 11 Combine like terms: 0 + 11 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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