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Simplifying 17c + 42 = 10c + 7 Reorder the terms: 42 + 17c = 10c + 7 Reorder the terms: 42 + 17c = 7 + 10c Solving 42 + 17c = 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. 42 + 17c + -10c = 7 + 10c + -10c Combine like terms: 17c + -10c = 7c 42 + 7c = 7 + 10c + -10c Combine like terms: 10c + -10c = 0 42 + 7c = 7 + 0 42 + 7c = 7 Add '-42' to each side of the equation. 42 + -42 + 7c = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 7c = 7 + -42 7c = 7 + -42 Combine like terms: 7 + -42 = -35 7c = -35 Divide each side by '7'. c = -5 Simplifying c = -5
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