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Simplifying 5(2c + -4) = 3(4c + 4) Reorder the terms: 5(-4 + 2c) = 3(4c + 4) (-4 * 5 + 2c * 5) = 3(4c + 4) (-20 + 10c) = 3(4c + 4) Reorder the terms: -20 + 10c = 3(4 + 4c) -20 + 10c = (4 * 3 + 4c * 3) -20 + 10c = (12 + 12c) Solving -20 + 10c = 12 + 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. -20 + 10c + -12c = 12 + 12c + -12c Combine like terms: 10c + -12c = -2c -20 + -2c = 12 + 12c + -12c Combine like terms: 12c + -12c = 0 -20 + -2c = 12 + 0 -20 + -2c = 12 Add '20' to each side of the equation. -20 + 20 + -2c = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -2c = 12 + 20 -2c = 12 + 20 Combine like terms: 12 + 20 = 32 -2c = 32 Divide each side by '-2'. c = -16 Simplifying c = -16
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