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Simplifying 2(5c + -4) + -4 = 2c + 4 Reorder the terms: 2(-4 + 5c) + -4 = 2c + 4 (-4 * 2 + 5c * 2) + -4 = 2c + 4 (-8 + 10c) + -4 = 2c + 4 Reorder the terms: -8 + -4 + 10c = 2c + 4 Combine like terms: -8 + -4 = -12 -12 + 10c = 2c + 4 Reorder the terms: -12 + 10c = 4 + 2c Solving -12 + 10c = 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. -12 + 10c + -2c = 4 + 2c + -2c Combine like terms: 10c + -2c = 8c -12 + 8c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 -12 + 8c = 4 + 0 -12 + 8c = 4 Add '12' to each side of the equation. -12 + 12 + 8c = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8c = 4 + 12 8c = 4 + 12 Combine like terms: 4 + 12 = 16 8c = 16 Divide each side by '8'. c = 2 Simplifying c = 2
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