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Simplifying -81 = 3(5b + -2) Reorder the terms: -81 = 3(-2 + 5b) -81 = (-2 * 3 + 5b * 3) -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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