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Simplifying (29b + -1) + -7(4b + 3) = -6 Reorder the terms: (-1 + 29b) + -7(4b + 3) = -6 Remove parenthesis around (-1 + 29b) -1 + 29b + -7(4b + 3) = -6 Reorder the terms: -1 + 29b + -7(3 + 4b) = -6 -1 + 29b + (3 * -7 + 4b * -7) = -6 -1 + 29b + (-21 + -28b) = -6 Reorder the terms: -1 + -21 + 29b + -28b = -6 Combine like terms: -1 + -21 = -22 -22 + 29b + -28b = -6 Combine like terms: 29b + -28b = 1b -22 + 1b = -6 Solving -22 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1b = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = -6 + 22 1b = -6 + 22 Combine like terms: -6 + 22 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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