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Simplifying 30 + -1b = 3(8 + -1b) 30 + -1b = (8 * 3 + -1b * 3) 30 + -1b = (24 + -3b) Solving 30 + -1b = 24 + -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. 30 + -1b + 3b = 24 + -3b + 3b Combine like terms: -1b + 3b = 2b 30 + 2b = 24 + -3b + 3b Combine like terms: -3b + 3b = 0 30 + 2b = 24 + 0 30 + 2b = 24 Add '-30' to each side of the equation. 30 + -30 + 2b = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 2b = 24 + -30 2b = 24 + -30 Combine like terms: 24 + -30 = -6 2b = -6 Divide each side by '2'. b = -3 Simplifying b = -3
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