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Simplifying 8c + -13 = 10c + 7 Reorder the terms: -13 + 8c = 10c + 7 Reorder the terms: -13 + 8c = 7 + 10c Solving -13 + 8c = 7 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -13 + 8c + -10c = 7 + 10c + -10c Combine like terms: 8c + -10c = -2c -13 + -2c = 7 + 10c + -10c Combine like terms: 10c + -10c = 0 -13 + -2c = 7 + 0 -13 + -2c = 7 Add '13' to each side of the equation. -13 + 13 + -2c = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -2c = 7 + 13 -2c = 7 + 13 Combine like terms: 7 + 13 = 20 -2c = 20 Divide each side by '-2'. c = -10 Simplifying c = -10
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