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Simplifying (29b + -3) + -7(4b + 2) = -3 Reorder the terms: (-3 + 29b) + -7(4b + 2) = -3 Remove parenthesis around (-3 + 29b) -3 + 29b + -7(4b + 2) = -3 Reorder the terms: -3 + 29b + -7(2 + 4b) = -3 -3 + 29b + (2 * -7 + 4b * -7) = -3 -3 + 29b + (-14 + -28b) = -3 Reorder the terms: -3 + -14 + 29b + -28b = -3 Combine like terms: -3 + -14 = -17 -17 + 29b + -28b = -3 Combine like terms: 29b + -28b = 1b -17 + 1b = -3 Solving -17 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = -3 + 17 1b = -3 + 17 Combine like terms: -3 + 17 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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