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