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Simplifying (29b + -3) + -7(4b + 3) = -2 Reorder the terms: (-3 + 29b) + -7(4b + 3) = -2 Remove parenthesis around (-3 + 29b) -3 + 29b + -7(4b + 3) = -2 Reorder the terms: -3 + 29b + -7(3 + 4b) = -2 -3 + 29b + (3 * -7 + 4b * -7) = -2 -3 + 29b + (-21 + -28b) = -2 Reorder the terms: -3 + -21 + 29b + -28b = -2 Combine like terms: -3 + -21 = -24 -24 + 29b + -28b = -2 Combine like terms: 29b + -28b = 1b -24 + 1b = -2 Solving -24 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1b = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 1b = -2 + 24 1b = -2 + 24 Combine like terms: -2 + 24 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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