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Simplifying -4c + -2(c + 2) = 16 + -1(c + -5) Reorder the terms: -4c + -2(2 + c) = 16 + -1(c + -5) -4c + (2 * -2 + c * -2) = 16 + -1(c + -5) -4c + (-4 + -2c) = 16 + -1(c + -5) Reorder the terms: -4 + -4c + -2c = 16 + -1(c + -5) Combine like terms: -4c + -2c = -6c -4 + -6c = 16 + -1(c + -5) Reorder the terms: -4 + -6c = 16 + -1(-5 + c) -4 + -6c = 16 + (-5 * -1 + c * -1) -4 + -6c = 16 + (5 + -1c) Combine like terms: 16 + 5 = 21 -4 + -6c = 21 + -1c Solving -4 + -6c = 21 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -4 + -6c + c = 21 + -1c + c Combine like terms: -6c + c = -5c -4 + -5c = 21 + -1c + c Combine like terms: -1c + c = 0 -4 + -5c = 21 + 0 -4 + -5c = 21 Add '4' to each side of the equation. -4 + 4 + -5c = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -5c = 21 + 4 -5c = 21 + 4 Combine like terms: 21 + 4 = 25 -5c = 25 Divide each side by '-5'. c = -5 Simplifying c = -5
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