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Simplifying 7(b + -4) + -6 = -83 Reorder the terms: 7(-4 + b) + -6 = -83 (-4 * 7 + b * 7) + -6 = -83 (-28 + 7b) + -6 = -83 Reorder the terms: -28 + -6 + 7b = -83 Combine like terms: -28 + -6 = -34 -34 + 7b = -83 Solving -34 + 7b = -83 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 7b = -83 + 34 Combine like terms: -34 + 34 = 0 0 + 7b = -83 + 34 7b = -83 + 34 Combine like terms: -83 + 34 = -49 7b = -49 Divide each side by '7'. b = -7 Simplifying b = -7
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