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Simplifying -24(2b + c + -12) = 0 Reorder the terms: -24(-12 + 2b + c) = 0 (-12 * -24 + 2b * -24 + c * -24) = 0 (288 + -48b + -24c) = 0 Solving 288 + -48b + -24c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-288' to each side of the equation. 288 + -48b + -288 + -24c = 0 + -288 Reorder the terms: 288 + -288 + -48b + -24c = 0 + -288 Combine like terms: 288 + -288 = 0 0 + -48b + -24c = 0 + -288 -48b + -24c = 0 + -288 Combine like terms: 0 + -288 = -288 -48b + -24c = -288 Add '24c' to each side of the equation. -48b + -24c + 24c = -288 + 24c Combine like terms: -24c + 24c = 0 -48b + 0 = -288 + 24c -48b = -288 + 24c Divide each side by '-48'. b = 6 + -0.5c Simplifying b = 6 + -0.5c
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