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Simplifying 3(9c + -4) = 2(3c + -2) Reorder the terms: 3(-4 + 9c) = 2(3c + -2) (-4 * 3 + 9c * 3) = 2(3c + -2) (-12 + 27c) = 2(3c + -2) Reorder the terms: -12 + 27c = 2(-2 + 3c) -12 + 27c = (-2 * 2 + 3c * 2) -12 + 27c = (-4 + 6c) Solving -12 + 27c = -4 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -12 + 27c + -6c = -4 + 6c + -6c Combine like terms: 27c + -6c = 21c -12 + 21c = -4 + 6c + -6c Combine like terms: 6c + -6c = 0 -12 + 21c = -4 + 0 -12 + 21c = -4 Add '12' to each side of the equation. -12 + 12 + 21c = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 21c = -4 + 12 21c = -4 + 12 Combine like terms: -4 + 12 = 8 21c = 8 Divide each side by '21'. c = 0.380952381 Simplifying c = 0.380952381
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