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Simplifying (29b + -7) + -7(4b + 4) = -7 Reorder the terms: (-7 + 29b) + -7(4b + 4) = -7 Remove parenthesis around (-7 + 29b) -7 + 29b + -7(4b + 4) = -7 Reorder the terms: -7 + 29b + -7(4 + 4b) = -7 -7 + 29b + (4 * -7 + 4b * -7) = -7 -7 + 29b + (-28 + -28b) = -7 Reorder the terms: -7 + -28 + 29b + -28b = -7 Combine like terms: -7 + -28 = -35 -35 + 29b + -28b = -7 Combine like terms: 29b + -28b = 1b -35 + 1b = -7 Solving -35 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 1b = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 1b = -7 + 35 1b = -7 + 35 Combine like terms: -7 + 35 = 28 1b = 28 Divide each side by '1'. b = 28 Simplifying b = 28
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