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Simplifying 4(5c + -4) + -6 = 16c + 2 Reorder the terms: 4(-4 + 5c) + -6 = 16c + 2 (-4 * 4 + 5c * 4) + -6 = 16c + 2 (-16 + 20c) + -6 = 16c + 2 Reorder the terms: -16 + -6 + 20c = 16c + 2 Combine like terms: -16 + -6 = -22 -22 + 20c = 16c + 2 Reorder the terms: -22 + 20c = 2 + 16c Solving -22 + 20c = 2 + 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. -22 + 20c + -16c = 2 + 16c + -16c Combine like terms: 20c + -16c = 4c -22 + 4c = 2 + 16c + -16c Combine like terms: 16c + -16c = 0 -22 + 4c = 2 + 0 -22 + 4c = 2 Add '22' to each side of the equation. -22 + 22 + 4c = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 4c = 2 + 22 4c = 2 + 22 Combine like terms: 2 + 22 = 24 4c = 24 Divide each side by '4'. c = 6 Simplifying c = 6
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