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Simplifying -9 + -7b = 3(b + 7) Reorder the terms: -9 + -7b = 3(7 + b) -9 + -7b = (7 * 3 + b * 3) -9 + -7b = (21 + 3b) Solving -9 + -7b = 21 + 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. -9 + -7b + -3b = 21 + 3b + -3b Combine like terms: -7b + -3b = -10b -9 + -10b = 21 + 3b + -3b Combine like terms: 3b + -3b = 0 -9 + -10b = 21 + 0 -9 + -10b = 21 Add '9' to each side of the equation. -9 + 9 + -10b = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -10b = 21 + 9 -10b = 21 + 9 Combine like terms: 21 + 9 = 30 -10b = 30 Divide each side by '-10'. b = -3 Simplifying b = -3
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