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Simplifying 4(2c + 1) + -7 = 6c + 3 Reorder the terms: 4(1 + 2c) + -7 = 6c + 3 (1 * 4 + 2c * 4) + -7 = 6c + 3 (4 + 8c) + -7 = 6c + 3 Reorder the terms: 4 + -7 + 8c = 6c + 3 Combine like terms: 4 + -7 = -3 -3 + 8c = 6c + 3 Reorder the terms: -3 + 8c = 3 + 6c Solving -3 + 8c = 3 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -3 + 8c + -6c = 3 + 6c + -6c Combine like terms: 8c + -6c = 2c -3 + 2c = 3 + 6c + -6c Combine like terms: 6c + -6c = 0 -3 + 2c = 3 + 0 -3 + 2c = 3 Add '3' to each side of the equation. -3 + 3 + 2c = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2c = 3 + 3 2c = 3 + 3 Combine like terms: 3 + 3 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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