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Simplifying 7(2 + c) + -2(2 + 2c) = 0 (2 * 7 + c * 7) + -2(2 + 2c) = 0 (14 + 7c) + -2(2 + 2c) = 0 14 + 7c + (2 * -2 + 2c * -2) = 0 14 + 7c + (-4 + -4c) = 0 Reorder the terms: 14 + -4 + 7c + -4c = 0 Combine like terms: 14 + -4 = 10 10 + 7c + -4c = 0 Combine like terms: 7c + -4c = 3c 10 + 3c = 0 Solving 10 + 3c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3c = 0 + -10 3c = 0 + -10 Combine like terms: 0 + -10 = -10 3c = -10 Divide each side by '3'. c = -3.333333333 Simplifying c = -3.333333333
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