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Simplifying 5(4c + -1) + -4 = 16c + 7 Reorder the terms: 5(-1 + 4c) + -4 = 16c + 7 (-1 * 5 + 4c * 5) + -4 = 16c + 7 (-5 + 20c) + -4 = 16c + 7 Reorder the terms: -5 + -4 + 20c = 16c + 7 Combine like terms: -5 + -4 = -9 -9 + 20c = 16c + 7 Reorder the terms: -9 + 20c = 7 + 16c Solving -9 + 20c = 7 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. -9 + 20c + -16c = 7 + 16c + -16c Combine like terms: 20c + -16c = 4c -9 + 4c = 7 + 16c + -16c Combine like terms: 16c + -16c = 0 -9 + 4c = 7 + 0 -9 + 4c = 7 Add '9' to each side of the equation. -9 + 9 + 4c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 4c = 7 + 9 4c = 7 + 9 Combine like terms: 7 + 9 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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