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Simplifying -1(c + 8) = 4c + 2(2 + -1c) Reorder the terms: -1(8 + c) = 4c + 2(2 + -1c) (8 * -1 + c * -1) = 4c + 2(2 + -1c) (-8 + -1c) = 4c + 2(2 + -1c) -8 + -1c = 4c + (2 * 2 + -1c * 2) -8 + -1c = 4c + (4 + -2c) Reorder the terms: -8 + -1c = 4 + 4c + -2c Combine like terms: 4c + -2c = 2c -8 + -1c = 4 + 2c Solving -8 + -1c = 4 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -8 + -1c + -2c = 4 + 2c + -2c Combine like terms: -1c + -2c = -3c -8 + -3c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 -8 + -3c = 4 + 0 -8 + -3c = 4 Add '8' to each side of the equation. -8 + 8 + -3c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -3c = 4 + 8 -3c = 4 + 8 Combine like terms: 4 + 8 = 12 -3c = 12 Divide each side by '-3'. c = -4 Simplifying c = -4
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