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Simplifying 3(9c + -4) = 2(3c + -20) Reorder the terms: 3(-4 + 9c) = 2(3c + -20) (-4 * 3 + 9c * 3) = 2(3c + -20) (-12 + 27c) = 2(3c + -20) Reorder the terms: -12 + 27c = 2(-20 + 3c) -12 + 27c = (-20 * 2 + 3c * 2) -12 + 27c = (-40 + 6c) Solving -12 + 27c = -40 + 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 = -40 + 6c + -6c Combine like terms: 27c + -6c = 21c -12 + 21c = -40 + 6c + -6c Combine like terms: 6c + -6c = 0 -12 + 21c = -40 + 0 -12 + 21c = -40 Add '12' to each side of the equation. -12 + 12 + 21c = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 21c = -40 + 12 21c = -40 + 12 Combine like terms: -40 + 12 = -28 21c = -28 Divide each side by '21'. c = -1.333333333 Simplifying c = -1.333333333
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