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Simplifying 7b + -1(3) = -2b + 24 Multiply -1 * 3 7b + -3 = -2b + 24 Reorder the terms: -3 + 7b = -2b + 24 Reorder the terms: -3 + 7b = 24 + -2b Solving -3 + 7b = 24 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -3 + 7b + 2b = 24 + -2b + 2b Combine like terms: 7b + 2b = 9b -3 + 9b = 24 + -2b + 2b Combine like terms: -2b + 2b = 0 -3 + 9b = 24 + 0 -3 + 9b = 24 Add '3' to each side of the equation. -3 + 3 + 9b = 24 + 3 Combine like terms: -3 + 3 = 0 0 + 9b = 24 + 3 9b = 24 + 3 Combine like terms: 24 + 3 = 27 9b = 27 Divide each side by '9'. b = 3 Simplifying b = 3
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