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Simplifying -5(3b + 1) + (16b + 9) = 0 Reorder the terms: -5(1 + 3b) + (16b + 9) = 0 (1 * -5 + 3b * -5) + (16b + 9) = 0 (-5 + -15b) + (16b + 9) = 0 Reorder the terms: -5 + -15b + (9 + 16b) = 0 Remove parenthesis around (9 + 16b) -5 + -15b + 9 + 16b = 0 Reorder the terms: -5 + 9 + -15b + 16b = 0 Combine like terms: -5 + 9 = 4 4 + -15b + 16b = 0 Combine like terms: -15b + 16b = 1b 4 + 1b = 0 Solving 4 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1b = 0 + -4 1b = 0 + -4 Combine like terms: 0 + -4 = -4 1b = -4 Divide each side by '1'. b = -4 Simplifying b = -4
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