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Simplifying 84 = -3(b + -8) + -7b Reorder the terms: 84 = -3(-8 + b) + -7b 84 = (-8 * -3 + b * -3) + -7b 84 = (24 + -3b) + -7b Combine like terms: -3b + -7b = -10b 84 = 24 + -10b Solving 84 = 24 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 84 + 10b = 24 + -10b + 10b Combine like terms: -10b + 10b = 0 84 + 10b = 24 + 0 84 + 10b = 24 Add '-84' to each side of the equation. 84 + -84 + 10b = 24 + -84 Combine like terms: 84 + -84 = 0 0 + 10b = 24 + -84 10b = 24 + -84 Combine like terms: 24 + -84 = -60 10b = -60 Divide each side by '10'. b = -6 Simplifying b = -6
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