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Simplifying (29b + -3) + -7(4b + 4) = -6 Reorder the terms: (-3 + 29b) + -7(4b + 4) = -6 Remove parenthesis around (-3 + 29b) -3 + 29b + -7(4b + 4) = -6 Reorder the terms: -3 + 29b + -7(4 + 4b) = -6 -3 + 29b + (4 * -7 + 4b * -7) = -6 -3 + 29b + (-28 + -28b) = -6 Reorder the terms: -3 + -28 + 29b + -28b = -6 Combine like terms: -3 + -28 = -31 -31 + 29b + -28b = -6 Combine like terms: 29b + -28b = 1b -31 + 1b = -6 Solving -31 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = -6 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = -6 + 31 1b = -6 + 31 Combine like terms: -6 + 31 = 25 1b = 25 Divide each side by '1'. b = 25 Simplifying b = 25
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