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Simplifying -6(b + 7) = -84 Reorder the terms: -6(7 + b) = -84 (7 * -6 + b * -6) = -84 (-42 + -6b) = -84 Solving -42 + -6b = -84 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -6b = -84 + 42 Combine like terms: -42 + 42 = 0 0 + -6b = -84 + 42 -6b = -84 + 42 Combine like terms: -84 + 42 = -42 -6b = -42 Divide each side by '-6'. b = 7 Simplifying b = 7
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