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Simplifying -124 = 6(7b + -6) + -4 Reorder the terms: -124 = 6(-6 + 7b) + -4 -124 = (-6 * 6 + 7b * 6) + -4 -124 = (-36 + 42b) + -4 Reorder the terms: -124 = -36 + -4 + 42b Combine like terms: -36 + -4 = -40 -124 = -40 + 42b Solving -124 = -40 + 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. -124 + -42b = -40 + 42b + -42b Combine like terms: 42b + -42b = 0 -124 + -42b = -40 + 0 -124 + -42b = -40 Add '124' to each side of the equation. -124 + 124 + -42b = -40 + 124 Combine like terms: -124 + 124 = 0 0 + -42b = -40 + 124 -42b = -40 + 124 Combine like terms: -40 + 124 = 84 -42b = 84 Divide each side by '-42'. b = -2 Simplifying b = -2
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