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Simplifying -81 = -5(3b + 2) + 4 Reorder the terms: -81 = -5(2 + 3b) + 4 -81 = (2 * -5 + 3b * -5) + 4 -81 = (-10 + -15b) + 4 Reorder the terms: -81 = -10 + 4 + -15b Combine like terms: -10 + 4 = -6 -81 = -6 + -15b Solving -81 = -6 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -81 + 15b = -6 + -15b + 15b Combine like terms: -15b + 15b = 0 -81 + 15b = -6 + 0 -81 + 15b = -6 Add '81' to each side of the equation. -81 + 81 + 15b = -6 + 81 Combine like terms: -81 + 81 = 0 0 + 15b = -6 + 81 15b = -6 + 81 Combine like terms: -6 + 81 = 75 15b = 75 Divide each side by '15'. b = 5 Simplifying b = 5
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