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Simplifying 2(b + -24) + 4(b + -4) = 44 Reorder the terms: 2(-24 + b) + 4(b + -4) = 44 (-24 * 2 + b * 2) + 4(b + -4) = 44 (-48 + 2b) + 4(b + -4) = 44 Reorder the terms: -48 + 2b + 4(-4 + b) = 44 -48 + 2b + (-4 * 4 + b * 4) = 44 -48 + 2b + (-16 + 4b) = 44 Reorder the terms: -48 + -16 + 2b + 4b = 44 Combine like terms: -48 + -16 = -64 -64 + 2b + 4b = 44 Combine like terms: 2b + 4b = 6b -64 + 6b = 44 Solving -64 + 6b = 44 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 6b = 44 + 64 Combine like terms: -64 + 64 = 0 0 + 6b = 44 + 64 6b = 44 + 64 Combine like terms: 44 + 64 = 108 6b = 108 Divide each side by '6'. b = 18 Simplifying b = 18
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