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Simplifying 3x + 6 + -4c + -12c = 7 Reorder the terms: 6 + -4c + -12c + 3x = 7 Combine like terms: -4c + -12c = -16c 6 + -16c + 3x = 7 Solving 6 + -16c + 3x = 7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -16c + -6 + 3x = 7 + -6 Reorder the terms: 6 + -6 + -16c + 3x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -16c + 3x = 7 + -6 -16c + 3x = 7 + -6 Combine like terms: 7 + -6 = 1 -16c + 3x = 1 Add '-3x' to each side of the equation. -16c + 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 -16c + 0 = 1 + -3x -16c = 1 + -3x Divide each side by '-16'. c = -0.0625 + 0.1875x Simplifying c = -0.0625 + 0.1875x
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