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Simplifying 5(c + -3) + 3 = 2 + c + 14 Reorder the terms: 5(-3 + c) + 3 = 2 + c + 14 (-3 * 5 + c * 5) + 3 = 2 + c + 14 (-15 + 5c) + 3 = 2 + c + 14 Reorder the terms: -15 + 3 + 5c = 2 + c + 14 Combine like terms: -15 + 3 = -12 -12 + 5c = 2 + c + 14 Reorder the terms: -12 + 5c = 2 + 14 + c Combine like terms: 2 + 14 = 16 -12 + 5c = 16 + c Solving -12 + 5c = 16 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -12 + 5c + -1c = 16 + c + -1c Combine like terms: 5c + -1c = 4c -12 + 4c = 16 + c + -1c Combine like terms: c + -1c = 0 -12 + 4c = 16 + 0 -12 + 4c = 16 Add '12' to each side of the equation. -12 + 12 + 4c = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 4c = 16 + 12 4c = 16 + 12 Combine like terms: 16 + 12 = 28 4c = 28 Divide each side by '4'. c = 7 Simplifying c = 7
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