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Simplifying -5 * 4c + -1 * 2 = -3 * 4 + -5 * 6c Multiply -5 * 4 -20c + -1 * 2 = -3 * 4 + -5 * 6c Multiply -1 * 2 -20c + -2 = -3 * 4 + -5 * 6c Reorder the terms: -2 + -20c = -3 * 4 + -5 * 6c Multiply -3 * 4 -2 + -20c = -12 + -5 * 6c Multiply -5 * 6 -2 + -20c = -12 + -30c Solving -2 + -20c = -12 + -30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30c' to each side of the equation. -2 + -20c + 30c = -12 + -30c + 30c Combine like terms: -20c + 30c = 10c -2 + 10c = -12 + -30c + 30c Combine like terms: -30c + 30c = 0 -2 + 10c = -12 + 0 -2 + 10c = -12 Add '2' to each side of the equation. -2 + 2 + 10c = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 10c = -12 + 2 10c = -12 + 2 Combine like terms: -12 + 2 = -10 10c = -10 Divide each side by '10'. c = -1 Simplifying c = -1
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