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Simplifying 9 = 3(10 + -1b) 9 = (10 * 3 + -1b * 3) 9 = (30 + -3b) Solving 9 = 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. 9 + 3b = 30 + -3b + 3b Combine like terms: -3b + 3b = 0 9 + 3b = 30 + 0 9 + 3b = 30 Add '-9' to each side of the equation. 9 + -9 + 3b = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 3b = 30 + -9 3b = 30 + -9 Combine like terms: 30 + -9 = 21 3b = 21 Divide each side by '3'. b = 7 Simplifying b = 7
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