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Simplifying -7(4b + 3) + (29b + -8) = 0 Reorder the terms: -7(3 + 4b) + (29b + -8) = 0 (3 * -7 + 4b * -7) + (29b + -8) = 0 (-21 + -28b) + (29b + -8) = 0 Reorder the terms: -21 + -28b + (-8 + 29b) = 0 Remove parenthesis around (-8 + 29b) -21 + -28b + -8 + 29b = 0 Reorder the terms: -21 + -8 + -28b + 29b = 0 Combine like terms: -21 + -8 = -29 -29 + -28b + 29b = 0 Combine like terms: -28b + 29b = 1b -29 + 1b = 0 Solving -29 + 1b = 0 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 = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = 0 + 29 1b = 0 + 29 Combine like terms: 0 + 29 = 29 1b = 29 Divide each side by '1'. b = 29 Simplifying b = 29
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