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Simplifying (29b + -8) + -7(4b + 3) = -7 Reorder the terms: (-8 + 29b) + -7(4b + 3) = -7 Remove parenthesis around (-8 + 29b) -8 + 29b + -7(4b + 3) = -7 Reorder the terms: -8 + 29b + -7(3 + 4b) = -7 -8 + 29b + (3 * -7 + 4b * -7) = -7 -8 + 29b + (-21 + -28b) = -7 Reorder the terms: -8 + -21 + 29b + -28b = -7 Combine like terms: -8 + -21 = -29 -29 + 29b + -28b = -7 Combine like terms: 29b + -28b = 1b -29 + 1b = -7 Solving -29 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = -7 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = -7 + 29 1b = -7 + 29 Combine like terms: -7 + 29 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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