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Simplifying -3c + 3(3x + -4) = 2 + -8x Reorder the terms: -3c + 3(-4 + 3x) = 2 + -8x -3c + (-4 * 3 + 3x * 3) = 2 + -8x -3c + (-12 + 9x) = 2 + -8x Reorder the terms: -12 + -3c + 9x = 2 + -8x Solving -12 + -3c + 9x = 2 + -8x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3c + 12 + 9x = 2 + 12 + -8x Reorder the terms: -12 + 12 + -3c + 9x = 2 + 12 + -8x Combine like terms: -12 + 12 = 0 0 + -3c + 9x = 2 + 12 + -8x -3c + 9x = 2 + 12 + -8x Combine like terms: 2 + 12 = 14 -3c + 9x = 14 + -8x Add '-9x' to each side of the equation. -3c + 9x + -9x = 14 + -8x + -9x Combine like terms: 9x + -9x = 0 -3c + 0 = 14 + -8x + -9x -3c = 14 + -8x + -9x Combine like terms: -8x + -9x = -17x -3c = 14 + -17x Divide each side by '-3'. c = -4.666666667 + 5.666666667x Simplifying c = -4.666666667 + 5.666666667x
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