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Simplifying 7(c + 2) + 3(c + -2) = 0 Reorder the terms: 7(2 + c) + 3(c + -2) = 0 (2 * 7 + c * 7) + 3(c + -2) = 0 (14 + 7c) + 3(c + -2) = 0 Reorder the terms: 14 + 7c + 3(-2 + c) = 0 14 + 7c + (-2 * 3 + c * 3) = 0 14 + 7c + (-6 + 3c) = 0 Reorder the terms: 14 + -6 + 7c + 3c = 0 Combine like terms: 14 + -6 = 8 8 + 7c + 3c = 0 Combine like terms: 7c + 3c = 10c 8 + 10c = 0 Solving 8 + 10c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 10c = 0 + -8 10c = 0 + -8 Combine like terms: 0 + -8 = -8 10c = -8 Divide each side by '10'. c = -0.8 Simplifying c = -0.8
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