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Simplifying 3(b + -3) = -2(b + 2) + 24 Reorder the terms: 3(-3 + b) = -2(b + 2) + 24 (-3 * 3 + b * 3) = -2(b + 2) + 24 (-9 + 3b) = -2(b + 2) + 24 Reorder the terms: -9 + 3b = -2(2 + b) + 24 -9 + 3b = (2 * -2 + b * -2) + 24 -9 + 3b = (-4 + -2b) + 24 Reorder the terms: -9 + 3b = -4 + 24 + -2b Combine like terms: -4 + 24 = 20 -9 + 3b = 20 + -2b Solving -9 + 3b = 20 + -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. -9 + 3b + 2b = 20 + -2b + 2b Combine like terms: 3b + 2b = 5b -9 + 5b = 20 + -2b + 2b Combine like terms: -2b + 2b = 0 -9 + 5b = 20 + 0 -9 + 5b = 20 Add '9' to each side of the equation. -9 + 9 + 5b = 20 + 9 Combine like terms: -9 + 9 = 0 0 + 5b = 20 + 9 5b = 20 + 9 Combine like terms: 20 + 9 = 29 5b = 29 Divide each side by '5'. b = 5.8 Simplifying b = 5.8
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