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Simplifying -5b + -1(1 + 5b) = -81 -5b + (1 * -1 + 5b * -1) = -81 -5b + (-1 + -5b) = -81 Reorder the terms: -1 + -5b + -5b = -81 Combine like terms: -5b + -5b = -10b -1 + -10b = -81 Solving -1 + -10b = -81 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -10b = -81 + 1 Combine like terms: -1 + 1 = 0 0 + -10b = -81 + 1 -10b = -81 + 1 Combine like terms: -81 + 1 = -80 -10b = -80 Divide each side by '-10'. b = 8 Simplifying b = 8
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