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Simplifying (16b + -9) + -5(3b + 1) = -6 Reorder the terms: (-9 + 16b) + -5(3b + 1) = -6 Remove parenthesis around (-9 + 16b) -9 + 16b + -5(3b + 1) = -6 Reorder the terms: -9 + 16b + -5(1 + 3b) = -6 -9 + 16b + (1 * -5 + 3b * -5) = -6 -9 + 16b + (-5 + -15b) = -6 Reorder the terms: -9 + -5 + 16b + -15b = -6 Combine like terms: -9 + -5 = -14 -14 + 16b + -15b = -6 Combine like terms: 16b + -15b = 1b -14 + 1b = -6 Solving -14 + 1b = -6 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 = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -6 + 14 1b = -6 + 14 Combine like terms: -6 + 14 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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