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Simplifying -84 = -6(b + 8) Reorder the terms: -84 = -6(8 + b) -84 = (8 * -6 + b * -6) -84 = (-48 + -6b) Solving -84 = -48 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -84 + 6b = -48 + -6b + 6b Combine like terms: -6b + 6b = 0 -84 + 6b = -48 + 0 -84 + 6b = -48 Add '84' to each side of the equation. -84 + 84 + 6b = -48 + 84 Combine like terms: -84 + 84 = 0 0 + 6b = -48 + 84 6b = -48 + 84 Combine like terms: -48 + 84 = 36 6b = 36 Divide each side by '6'. b = 6 Simplifying b = 6
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