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Simplifying (29b + -8) + -7(4b + 1) = -4 Reorder the terms: (-8 + 29b) + -7(4b + 1) = -4 Remove parenthesis around (-8 + 29b) -8 + 29b + -7(4b + 1) = -4 Reorder the terms: -8 + 29b + -7(1 + 4b) = -4 -8 + 29b + (1 * -7 + 4b * -7) = -4 -8 + 29b + (-7 + -28b) = -4 Reorder the terms: -8 + -7 + 29b + -28b = -4 Combine like terms: -8 + -7 = -15 -15 + 29b + -28b = -4 Combine like terms: 29b + -28b = 1b -15 + 1b = -4 Solving -15 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -4 + 15 1b = -4 + 15 Combine like terms: -4 + 15 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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