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Simplifying 3(b + -24) = 24 + -3(b + -4) Reorder the terms: 3(-24 + b) = 24 + -3(b + -4) (-24 * 3 + b * 3) = 24 + -3(b + -4) (-72 + 3b) = 24 + -3(b + -4) Reorder the terms: -72 + 3b = 24 + -3(-4 + b) -72 + 3b = 24 + (-4 * -3 + b * -3) -72 + 3b = 24 + (12 + -3b) Combine like terms: 24 + 12 = 36 -72 + 3b = 36 + -3b Solving -72 + 3b = 36 + -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. -72 + 3b + 3b = 36 + -3b + 3b Combine like terms: 3b + 3b = 6b -72 + 6b = 36 + -3b + 3b Combine like terms: -3b + 3b = 0 -72 + 6b = 36 + 0 -72 + 6b = 36 Add '72' to each side of the equation. -72 + 72 + 6b = 36 + 72 Combine like terms: -72 + 72 = 0 0 + 6b = 36 + 72 6b = 36 + 72 Combine like terms: 36 + 72 = 108 6b = 108 Divide each side by '6'. b = 18 Simplifying b = 18
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