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Simplifying -12 + 4c = 6c + -1(19 + 13) Combine like terms: 19 + 13 = 32 -12 + 4c = 6c + -1(32) Multiply -1 * 32 -12 + 4c = 6c + -32 Reorder the terms: -12 + 4c = -32 + 6c Solving -12 + 4c = -32 + 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. -12 + 4c + -6c = -32 + 6c + -6c Combine like terms: 4c + -6c = -2c -12 + -2c = -32 + 6c + -6c Combine like terms: 6c + -6c = 0 -12 + -2c = -32 + 0 -12 + -2c = -32 Add '12' to each side of the equation. -12 + 12 + -2c = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -2c = -32 + 12 -2c = -32 + 12 Combine like terms: -32 + 12 = -20 -2c = -20 Divide each side by '-2'. c = 10 Simplifying c = 10
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