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Simplifying (16b + -9) + -5(3b + 4) = -6 Reorder the terms: (-9 + 16b) + -5(3b + 4) = -6 Remove parenthesis around (-9 + 16b) -9 + 16b + -5(3b + 4) = -6 Reorder the terms: -9 + 16b + -5(4 + 3b) = -6 -9 + 16b + (4 * -5 + 3b * -5) = -6 -9 + 16b + (-20 + -15b) = -6 Reorder the terms: -9 + -20 + 16b + -15b = -6 Combine like terms: -9 + -20 = -29 -29 + 16b + -15b = -6 Combine like terms: 16b + -15b = 1b -29 + 1b = -6 Solving -29 + 1b = -6 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 = -6 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = -6 + 29 1b = -6 + 29 Combine like terms: -6 + 29 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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