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Simplifying 3(4b + 12c + 11) = 0 Reorder the terms: 3(11 + 4b + 12c) = 0 (11 * 3 + 4b * 3 + 12c * 3) = 0 (33 + 12b + 36c) = 0 Solving 33 + 12b + 36c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 12b + -33 + 36c = 0 + -33 Reorder the terms: 33 + -33 + 12b + 36c = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 12b + 36c = 0 + -33 12b + 36c = 0 + -33 Combine like terms: 0 + -33 = -33 12b + 36c = -33 Add '-36c' to each side of the equation. 12b + 36c + -36c = -33 + -36c Combine like terms: 36c + -36c = 0 12b + 0 = -33 + -36c 12b = -33 + -36c Divide each side by '12'. b = -2.75 + -3c Simplifying b = -2.75 + -3c
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