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Simplifying 5(2c + -4) + 3 = -4c + -10 Reorder the terms: 5(-4 + 2c) + 3 = -4c + -10 (-4 * 5 + 2c * 5) + 3 = -4c + -10 (-20 + 10c) + 3 = -4c + -10 Reorder the terms: -20 + 3 + 10c = -4c + -10 Combine like terms: -20 + 3 = -17 -17 + 10c = -4c + -10 Reorder the terms: -17 + 10c = -10 + -4c Solving -17 + 10c = -10 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -17 + 10c + 4c = -10 + -4c + 4c Combine like terms: 10c + 4c = 14c -17 + 14c = -10 + -4c + 4c Combine like terms: -4c + 4c = 0 -17 + 14c = -10 + 0 -17 + 14c = -10 Add '17' to each side of the equation. -17 + 17 + 14c = -10 + 17 Combine like terms: -17 + 17 = 0 0 + 14c = -10 + 17 14c = -10 + 17 Combine like terms: -10 + 17 = 7 14c = 7 Divide each side by '14'. c = 0.5 Simplifying c = 0.5
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