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Simplifying (2c + -4) = 3(c + -2) Reorder the terms: (-4 + 2c) = 3(c + -2) Remove parenthesis around (-4 + 2c) -4 + 2c = 3(c + -2) Reorder the terms: -4 + 2c = 3(-2 + c) -4 + 2c = (-2 * 3 + c * 3) -4 + 2c = (-6 + 3c) Solving -4 + 2c = -6 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -4 + 2c + -3c = -6 + 3c + -3c Combine like terms: 2c + -3c = -1c -4 + -1c = -6 + 3c + -3c Combine like terms: 3c + -3c = 0 -4 + -1c = -6 + 0 -4 + -1c = -6 Add '4' to each side of the equation. -4 + 4 + -1c = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = -6 + 4 -1c = -6 + 4 Combine like terms: -6 + 4 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2
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