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Simplifying 3c + 21 = 10c + -63 Reorder the terms: 21 + 3c = 10c + -63 Reorder the terms: 21 + 3c = -63 + 10c Solving 21 + 3c = -63 + 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. 21 + 3c + -10c = -63 + 10c + -10c Combine like terms: 3c + -10c = -7c 21 + -7c = -63 + 10c + -10c Combine like terms: 10c + -10c = 0 21 + -7c = -63 + 0 21 + -7c = -63 Add '-21' to each side of the equation. 21 + -21 + -7c = -63 + -21 Combine like terms: 21 + -21 = 0 0 + -7c = -63 + -21 -7c = -63 + -21 Combine like terms: -63 + -21 = -84 -7c = -84 Divide each side by '-7'. c = 12 Simplifying c = 12
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