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Simplifying -81 = -4 + 7(6b + -5) Reorder the terms: -81 = -4 + 7(-5 + 6b) -81 = -4 + (-5 * 7 + 6b * 7) -81 = -4 + (-35 + 42b) Combine like terms: -4 + -35 = -39 -81 = -39 + 42b Solving -81 = -39 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. -81 + -42b = -39 + 42b + -42b Combine like terms: 42b + -42b = 0 -81 + -42b = -39 + 0 -81 + -42b = -39 Add '81' to each side of the equation. -81 + 81 + -42b = -39 + 81 Combine like terms: -81 + 81 = 0 0 + -42b = -39 + 81 -42b = -39 + 81 Combine like terms: -39 + 81 = 42 -42b = 42 Divide each side by '-42'. b = -1 Simplifying b = -1
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