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Simplifying 10(c) + 100 = 12(c) Reorder the terms: 100 + 10c = 12(c) Solving 100 + 10c = 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 100 + 10c + -12c = 12c + -12c Combine like terms: 10c + -12c = -2c 100 + -2c = 12c + -12c Combine like terms: 12c + -12c = 0 100 + -2c = 0 Add '-100' to each side of the equation. 100 + -100 + -2c = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -2c = 0 + -100 -2c = 0 + -100 Combine like terms: 0 + -100 = -100 -2c = -100 Divide each side by '-2'. c = 50 Simplifying c = 50
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