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Simplifying 5(4c + -1) + -2 = 16c + 9 Reorder the terms: 5(-1 + 4c) + -2 = 16c + 9 (-1 * 5 + 4c * 5) + -2 = 16c + 9 (-5 + 20c) + -2 = 16c + 9 Reorder the terms: -5 + -2 + 20c = 16c + 9 Combine like terms: -5 + -2 = -7 -7 + 20c = 16c + 9 Reorder the terms: -7 + 20c = 9 + 16c Solving -7 + 20c = 9 + 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. -7 + 20c + -16c = 9 + 16c + -16c Combine like terms: 20c + -16c = 4c -7 + 4c = 9 + 16c + -16c Combine like terms: 16c + -16c = 0 -7 + 4c = 9 + 0 -7 + 4c = 9 Add '7' to each side of the equation. -7 + 7 + 4c = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 9 + 7 4c = 9 + 7 Combine like terms: 9 + 7 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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