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Simplifying 3(c + 5) + -4(3 + 3b) = 0 Reorder the terms: 3(5 + c) + -4(3 + 3b) = 0 (5 * 3 + c * 3) + -4(3 + 3b) = 0 (15 + 3c) + -4(3 + 3b) = 0 15 + 3c + (3 * -4 + 3b * -4) = 0 15 + 3c + (-12 + -12b) = 0 Reorder the terms: 15 + -12 + -12b + 3c = 0 Combine like terms: 15 + -12 = 3 3 + -12b + 3c = 0 Solving 3 + -12b + 3c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -12b + -3 + 3c = 0 + -3 Reorder the terms: 3 + -3 + -12b + 3c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -12b + 3c = 0 + -3 -12b + 3c = 0 + -3 Combine like terms: 0 + -3 = -3 -12b + 3c = -3 Add '-3c' to each side of the equation. -12b + 3c + -3c = -3 + -3c Combine like terms: 3c + -3c = 0 -12b + 0 = -3 + -3c -12b = -3 + -3c Divide each side by '-12'. b = 0.25 + 0.25c Simplifying b = 0.25 + 0.25c
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