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Simplifying 13(5c + -1) + -12 = 63c + 13 Reorder the terms: 13(-1 + 5c) + -12 = 63c + 13 (-1 * 13 + 5c * 13) + -12 = 63c + 13 (-13 + 65c) + -12 = 63c + 13 Reorder the terms: -13 + -12 + 65c = 63c + 13 Combine like terms: -13 + -12 = -25 -25 + 65c = 63c + 13 Reorder the terms: -25 + 65c = 13 + 63c Solving -25 + 65c = 13 + 63c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-63c' to each side of the equation. -25 + 65c + -63c = 13 + 63c + -63c Combine like terms: 65c + -63c = 2c -25 + 2c = 13 + 63c + -63c Combine like terms: 63c + -63c = 0 -25 + 2c = 13 + 0 -25 + 2c = 13 Add '25' to each side of the equation. -25 + 25 + 2c = 13 + 25 Combine like terms: -25 + 25 = 0 0 + 2c = 13 + 25 2c = 13 + 25 Combine like terms: 13 + 25 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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