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