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Simplifying 84 = -3(-10 + b) 84 = (-10 * -3 + b * -3) 84 = (30 + -3b) Solving 84 = 30 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 84 + 3b = 30 + -3b + 3b Combine like terms: -3b + 3b = 0 84 + 3b = 30 + 0 84 + 3b = 30 Add '-84' to each side of the equation. 84 + -84 + 3b = 30 + -84 Combine like terms: 84 + -84 = 0 0 + 3b = 30 + -84 3b = 30 + -84 Combine like terms: 30 + -84 = -54 3b = -54 Divide each side by '3'. b = -18 Simplifying b = -18
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