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Simplifying 5(2c + 3) + -4(3c + -2) = 0 Reorder the terms: 5(3 + 2c) + -4(3c + -2) = 0 (3 * 5 + 2c * 5) + -4(3c + -2) = 0 (15 + 10c) + -4(3c + -2) = 0 Reorder the terms: 15 + 10c + -4(-2 + 3c) = 0 15 + 10c + (-2 * -4 + 3c * -4) = 0 15 + 10c + (8 + -12c) = 0 Reorder the terms: 15 + 8 + 10c + -12c = 0 Combine like terms: 15 + 8 = 23 23 + 10c + -12c = 0 Combine like terms: 10c + -12c = -2c 23 + -2c = 0 Solving 23 + -2c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2c = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2c = 0 + -23 -2c = 0 + -23 Combine like terms: 0 + -23 = -23 -2c = -23 Divide each side by '-2'. c = 11.5 Simplifying c = 11.5
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