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Simplifying 2(b + -24) = 44 + -4(b + -4) Reorder the terms: 2(-24 + b) = 44 + -4(b + -4) (-24 * 2 + b * 2) = 44 + -4(b + -4) (-48 + 2b) = 44 + -4(b + -4) Reorder the terms: -48 + 2b = 44 + -4(-4 + b) -48 + 2b = 44 + (-4 * -4 + b * -4) -48 + 2b = 44 + (16 + -4b) Combine like terms: 44 + 16 = 60 -48 + 2b = 60 + -4b Solving -48 + 2b = 60 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -48 + 2b + 4b = 60 + -4b + 4b Combine like terms: 2b + 4b = 6b -48 + 6b = 60 + -4b + 4b Combine like terms: -4b + 4b = 0 -48 + 6b = 60 + 0 -48 + 6b = 60 Add '48' to each side of the equation. -48 + 48 + 6b = 60 + 48 Combine like terms: -48 + 48 = 0 0 + 6b = 60 + 48 6b = 60 + 48 Combine like terms: 60 + 48 = 108 6b = 108 Divide each side by '6'. b = 18 Simplifying b = 18
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