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Simplifying 0.50c + 13 = 3c + 48 Reorder the terms: 13 + 0.50c = 3c + 48 Reorder the terms: 13 + 0.50c = 48 + 3c Solving 13 + 0.50c = 48 + 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. 13 + 0.50c + -3c = 48 + 3c + -3c Combine like terms: 0.50c + -3c = -2.5c 13 + -2.5c = 48 + 3c + -3c Combine like terms: 3c + -3c = 0 13 + -2.5c = 48 + 0 13 + -2.5c = 48 Add '-13' to each side of the equation. 13 + -13 + -2.5c = 48 + -13 Combine like terms: 13 + -13 = 0 0 + -2.5c = 48 + -13 -2.5c = 48 + -13 Combine like terms: 48 + -13 = 35 -2.5c = 35 Divide each side by '-2.5'. c = -14 Simplifying c = -14
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