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Simplifying 7(4c + 1) + -2(2c + -3) = -23 Reorder the terms: 7(1 + 4c) + -2(2c + -3) = -23 (1 * 7 + 4c * 7) + -2(2c + -3) = -23 (7 + 28c) + -2(2c + -3) = -23 Reorder the terms: 7 + 28c + -2(-3 + 2c) = -23 7 + 28c + (-3 * -2 + 2c * -2) = -23 7 + 28c + (6 + -4c) = -23 Reorder the terms: 7 + 6 + 28c + -4c = -23 Combine like terms: 7 + 6 = 13 13 + 28c + -4c = -23 Combine like terms: 28c + -4c = 24c 13 + 24c = -23 Solving 13 + 24c = -23 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 24c = -23 + -13 Combine like terms: 13 + -13 = 0 0 + 24c = -23 + -13 24c = -23 + -13 Combine like terms: -23 + -13 = -36 24c = -36 Divide each side by '24'. c = -1.5 Simplifying c = -1.5
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