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Simplifying 6(c + -2) = (8c) + 2 Reorder the terms: 6(-2 + c) = (8c) + 2 (-2 * 6 + c * 6) = (8c) + 2 (-12 + 6c) = (8c) + 2 Reorder the terms: -12 + 6c = 2 + (8c) Solving -12 + 6c = 2 + (8c) Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '(-8c)' to each side of the equation. -12 + 6c + (-8c) = 2 + (8c) + (-8c) Combine like terms: 6c + (-8c) = -2c -12 + -2c = 2 + (8c) + (-8c) Combine like terms: (8c) + (-8c) = 0 -12 + -2c = 2 + 0 -12 + -2c = 2 Add '12' to each side of the equation. -12 + 12 + -2c = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2c = 2 + 12 -2c = 2 + 12 Combine like terms: 2 + 12 = 14 -2c = 14 Divide each side by '-2'. c = -7 Simplifying c = -7
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