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