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Simplifying 3(2c + -4) + -4 = 2c + 4 Reorder the terms: 3(-4 + 2c) + -4 = 2c + 4 (-4 * 3 + 2c * 3) + -4 = 2c + 4 (-12 + 6c) + -4 = 2c + 4 Reorder the terms: -12 + -4 + 6c = 2c + 4 Combine like terms: -12 + -4 = -16 -16 + 6c = 2c + 4 Reorder the terms: -16 + 6c = 4 + 2c Solving -16 + 6c = 4 + 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. -16 + 6c + -2c = 4 + 2c + -2c Combine like terms: 6c + -2c = 4c -16 + 4c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 -16 + 4c = 4 + 0 -16 + 4c = 4 Add '16' to each side of the equation. -16 + 16 + 4c = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 4c = 4 + 16 4c = 4 + 16 Combine like terms: 4 + 16 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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