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Simplifying -7c + 3 + 5 = 2 + 3c + 8 Reorder the terms: 3 + 5 + -7c = 2 + 3c + 8 Combine like terms: 3 + 5 = 8 8 + -7c = 2 + 3c + 8 Reorder the terms: 8 + -7c = 2 + 8 + 3c Combine like terms: 2 + 8 = 10 8 + -7c = 10 + 3c Solving 8 + -7c = 10 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 8 + -7c + -3c = 10 + 3c + -3c Combine like terms: -7c + -3c = -10c 8 + -10c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 8 + -10c = 10 + 0 8 + -10c = 10 Add '-8' to each side of the equation. 8 + -8 + -10c = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -10c = 10 + -8 -10c = 10 + -8 Combine like terms: 10 + -8 = 2 -10c = 2 Divide each side by '-10'. c = -0.2 Simplifying c = -0.2
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