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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 = -14 -14 + -15b + 16b = 0 Combine like terms: -15b + 16b = 1b -14 + 1b = 0 Solving -14 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = 0 + 14 1b = 0 + 14 Combine like terms: 0 + 14 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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