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Simplifying -8 + 21 = 2c + 1 Combine like terms: -8 + 21 = 13 13 = 2c + 1 Reorder the terms: 13 = 1 + 2c Solving 13 = 1 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 13 + -2c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 13 + -2c = 1 + 0 13 + -2c = 1 Add '-13' to each side of the equation. 13 + -13 + -2c = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -2c = 1 + -13 -2c = 1 + -13 Combine like terms: 1 + -13 = -12 -2c = -12 Divide each side by '-2'. c = 6 Simplifying c = 6
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