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Simplifying 2(c + 4) + -4(5 + -2c) = 6(2c + -4) Reorder the terms: 2(4 + c) + -4(5 + -2c) = 6(2c + -4) (4 * 2 + c * 2) + -4(5 + -2c) = 6(2c + -4) (8 + 2c) + -4(5 + -2c) = 6(2c + -4) 8 + 2c + (5 * -4 + -2c * -4) = 6(2c + -4) 8 + 2c + (-20 + 8c) = 6(2c + -4) Reorder the terms: 8 + -20 + 2c + 8c = 6(2c + -4) Combine like terms: 8 + -20 = -12 -12 + 2c + 8c = 6(2c + -4) Combine like terms: 2c + 8c = 10c -12 + 10c = 6(2c + -4) Reorder the terms: -12 + 10c = 6(-4 + 2c) -12 + 10c = (-4 * 6 + 2c * 6) -12 + 10c = (-24 + 12c) Solving -12 + 10c = -24 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -12 + 10c + -12c = -24 + 12c + -12c Combine like terms: 10c + -12c = -2c -12 + -2c = -24 + 12c + -12c Combine like terms: 12c + -12c = 0 -12 + -2c = -24 + 0 -12 + -2c = -24 Add '12' to each side of the equation. -12 + 12 + -2c = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -2c = -24 + 12 -2c = -24 + 12 Combine like terms: -24 + 12 = -12 -2c = -12 Divide each side by '-2'. c = 6 Simplifying c = 6
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