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Simplifying 10(3 + 4c) + -2(3c + 1) = 0 (3 * 10 + 4c * 10) + -2(3c + 1) = 0 (30 + 40c) + -2(3c + 1) = 0 Reorder the terms: 30 + 40c + -2(1 + 3c) = 0 30 + 40c + (1 * -2 + 3c * -2) = 0 30 + 40c + (-2 + -6c) = 0 Reorder the terms: 30 + -2 + 40c + -6c = 0 Combine like terms: 30 + -2 = 28 28 + 40c + -6c = 0 Combine like terms: 40c + -6c = 34c 28 + 34c = 0 Solving 28 + 34c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 34c = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 34c = 0 + -28 34c = 0 + -28 Combine like terms: 0 + -28 = -28 34c = -28 Divide each side by '34'. c = -0.8235294118 Simplifying c = -0.8235294118
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