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Simplifying 5c + -10 = 6c + 12 Reorder the terms: -10 + 5c = 6c + 12 Reorder the terms: -10 + 5c = 12 + 6c Solving -10 + 5c = 12 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -10 + 5c + -6c = 12 + 6c + -6c Combine like terms: 5c + -6c = -1c -10 + -1c = 12 + 6c + -6c Combine like terms: 6c + -6c = 0 -10 + -1c = 12 + 0 -10 + -1c = 12 Add '10' to each side of the equation. -10 + 10 + -1c = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -1c = 12 + 10 -1c = 12 + 10 Combine like terms: 12 + 10 = 22 -1c = 22 Divide each side by '-1'. c = -22 Simplifying c = -22
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