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Simplifying 4(5c + -4) + -7 = 14c + 1 Reorder the terms: 4(-4 + 5c) + -7 = 14c + 1 (-4 * 4 + 5c * 4) + -7 = 14c + 1 (-16 + 20c) + -7 = 14c + 1 Reorder the terms: -16 + -7 + 20c = 14c + 1 Combine like terms: -16 + -7 = -23 -23 + 20c = 14c + 1 Reorder the terms: -23 + 20c = 1 + 14c Solving -23 + 20c = 1 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -23 + 20c + -14c = 1 + 14c + -14c Combine like terms: 20c + -14c = 6c -23 + 6c = 1 + 14c + -14c Combine like terms: 14c + -14c = 0 -23 + 6c = 1 + 0 -23 + 6c = 1 Add '23' to each side of the equation. -23 + 23 + 6c = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 6c = 1 + 23 6c = 1 + 23 Combine like terms: 1 + 23 = 24 6c = 24 Divide each side by '6'. c = 4 Simplifying c = 4
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