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Simplifying (29b + -5) + -7(4b + 2) = -6 Reorder the terms: (-5 + 29b) + -7(4b + 2) = -6 Remove parenthesis around (-5 + 29b) -5 + 29b + -7(4b + 2) = -6 Reorder the terms: -5 + 29b + -7(2 + 4b) = -6 -5 + 29b + (2 * -7 + 4b * -7) = -6 -5 + 29b + (-14 + -28b) = -6 Reorder the terms: -5 + -14 + 29b + -28b = -6 Combine like terms: -5 + -14 = -19 -19 + 29b + -28b = -6 Combine like terms: 29b + -28b = 1b -19 + 1b = -6 Solving -19 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -6 + 19 1b = -6 + 19 Combine like terms: -6 + 19 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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