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Simplifying (29b + -2) + -7(4b + 4) = -3 Reorder the terms: (-2 + 29b) + -7(4b + 4) = -3 Remove parenthesis around (-2 + 29b) -2 + 29b + -7(4b + 4) = -3 Reorder the terms: -2 + 29b + -7(4 + 4b) = -3 -2 + 29b + (4 * -7 + 4b * -7) = -3 -2 + 29b + (-28 + -28b) = -3 Reorder the terms: -2 + -28 + 29b + -28b = -3 Combine like terms: -2 + -28 = -30 -30 + 29b + -28b = -3 Combine like terms: 29b + -28b = 1b -30 + 1b = -3 Solving -30 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1b = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = -3 + 30 1b = -3 + 30 Combine like terms: -3 + 30 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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