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Simplifying 8(c + -4) = -2(c + 6) Reorder the terms: 8(-4 + c) = -2(c + 6) (-4 * 8 + c * 8) = -2(c + 6) (-32 + 8c) = -2(c + 6) Reorder the terms: -32 + 8c = -2(6 + c) -32 + 8c = (6 * -2 + c * -2) -32 + 8c = (-12 + -2c) Solving -32 + 8c = -12 + -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. -32 + 8c + 2c = -12 + -2c + 2c Combine like terms: 8c + 2c = 10c -32 + 10c = -12 + -2c + 2c Combine like terms: -2c + 2c = 0 -32 + 10c = -12 + 0 -32 + 10c = -12 Add '32' to each side of the equation. -32 + 32 + 10c = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 10c = -12 + 32 10c = -12 + 32 Combine like terms: -12 + 32 = 20 10c = 20 Divide each side by '10'. c = 2 Simplifying c = 2
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