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Simplifying -13 = -13c + 3 + 10c + 5 Reorder the terms: -13 = 3 + 5 + -13c + 10c Combine like terms: 3 + 5 = 8 -13 = 8 + -13c + 10c Combine like terms: -13c + 10c = -3c -13 = 8 + -3c Solving -13 = 8 + -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 + 3c = 8 + -3c + 3c Combine like terms: -3c + 3c = 0 -13 + 3c = 8 + 0 -13 + 3c = 8 Add '13' to each side of the equation. -13 + 13 + 3c = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 3c = 8 + 13 3c = 8 + 13 Combine like terms: 8 + 13 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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