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Simplifying 4(6c + -1) + -12 = 22c + 4 Reorder the terms: 4(-1 + 6c) + -12 = 22c + 4 (-1 * 4 + 6c * 4) + -12 = 22c + 4 (-4 + 24c) + -12 = 22c + 4 Reorder the terms: -4 + -12 + 24c = 22c + 4 Combine like terms: -4 + -12 = -16 -16 + 24c = 22c + 4 Reorder the terms: -16 + 24c = 4 + 22c Solving -16 + 24c = 4 + 22c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22c' to each side of the equation. -16 + 24c + -22c = 4 + 22c + -22c Combine like terms: 24c + -22c = 2c -16 + 2c = 4 + 22c + -22c Combine like terms: 22c + -22c = 0 -16 + 2c = 4 + 0 -16 + 2c = 4 Add '16' to each side of the equation. -16 + 16 + 2c = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 2c = 4 + 16 2c = 4 + 16 Combine like terms: 4 + 16 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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