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Simplifying 7c + -4 = 10c + 14 Reorder the terms: -4 + 7c = 10c + 14 Reorder the terms: -4 + 7c = 14 + 10c Solving -4 + 7c = 14 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -4 + 7c + -10c = 14 + 10c + -10c Combine like terms: 7c + -10c = -3c -4 + -3c = 14 + 10c + -10c Combine like terms: 10c + -10c = 0 -4 + -3c = 14 + 0 -4 + -3c = 14 Add '4' to each side of the equation. -4 + 4 + -3c = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -3c = 14 + 4 -3c = 14 + 4 Combine like terms: 14 + 4 = 18 -3c = 18 Divide each side by '-3'. c = -6 Simplifying c = -6
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