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Simplifying 4(4c + 3) + -3(2c + 10) + 3c = 0 Reorder the terms: 4(3 + 4c) + -3(2c + 10) + 3c = 0 (3 * 4 + 4c * 4) + -3(2c + 10) + 3c = 0 (12 + 16c) + -3(2c + 10) + 3c = 0 Reorder the terms: 12 + 16c + -3(10 + 2c) + 3c = 0 12 + 16c + (10 * -3 + 2c * -3) + 3c = 0 12 + 16c + (-30 + -6c) + 3c = 0 Reorder the terms: 12 + -30 + 16c + -6c + 3c = 0 Combine like terms: 12 + -30 = -18 -18 + 16c + -6c + 3c = 0 Combine like terms: 16c + -6c = 10c -18 + 10c + 3c = 0 Combine like terms: 10c + 3c = 13c -18 + 13c = 0 Solving -18 + 13c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 13c = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 13c = 0 + 18 13c = 0 + 18 Combine like terms: 0 + 18 = 18 13c = 18 Divide each side by '13'. c = 1.384615385 Simplifying c = 1.384615385
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