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Simplifying c + -3 = 6c + -48 Reorder the terms: -3 + c = 6c + -48 Reorder the terms: -3 + c = -48 + 6c Solving -3 + c = -48 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -3 + c + -6c = -48 + 6c + -6c Combine like terms: c + -6c = -5c -3 + -5c = -48 + 6c + -6c Combine like terms: 6c + -6c = 0 -3 + -5c = -48 + 0 -3 + -5c = -48 Add '3' to each side of the equation. -3 + 3 + -5c = -48 + 3 Combine like terms: -3 + 3 = 0 0 + -5c = -48 + 3 -5c = -48 + 3 Combine like terms: -48 + 3 = -45 -5c = -45 Divide each side by '-5'. c = 9 Simplifying c = 9
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