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Simplifying 2(3c + -2) + 4(c + 7) = 0 Reorder the terms: 2(-2 + 3c) + 4(c + 7) = 0 (-2 * 2 + 3c * 2) + 4(c + 7) = 0 (-4 + 6c) + 4(c + 7) = 0 Reorder the terms: -4 + 6c + 4(7 + c) = 0 -4 + 6c + (7 * 4 + c * 4) = 0 -4 + 6c + (28 + 4c) = 0 Reorder the terms: -4 + 28 + 6c + 4c = 0 Combine like terms: -4 + 28 = 24 24 + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 24 + 10c = 0 Solving 24 + 10c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10c = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10c = 0 + -24 10c = 0 + -24 Combine like terms: 0 + -24 = -24 10c = -24 Divide each side by '10'. c = -2.4 Simplifying c = -2.4
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