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Simplifying -84 = -3(3b + 7) Reorder the terms: -84 = -3(7 + 3b) -84 = (7 * -3 + 3b * -3) -84 = (-21 + -9b) Solving -84 = -21 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -84 + 9b = -21 + -9b + 9b Combine like terms: -9b + 9b = 0 -84 + 9b = -21 + 0 -84 + 9b = -21 Add '84' to each side of the equation. -84 + 84 + 9b = -21 + 84 Combine like terms: -84 + 84 = 0 0 + 9b = -21 + 84 9b = -21 + 84 Combine like terms: -21 + 84 = 63 9b = 63 Divide each side by '9'. b = 7 Simplifying b = 7
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