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Simplifying 4(2c + -3) + -3 = 6c + 9 Reorder the terms: 4(-3 + 2c) + -3 = 6c + 9 (-3 * 4 + 2c * 4) + -3 = 6c + 9 (-12 + 8c) + -3 = 6c + 9 Reorder the terms: -12 + -3 + 8c = 6c + 9 Combine like terms: -12 + -3 = -15 -15 + 8c = 6c + 9 Reorder the terms: -15 + 8c = 9 + 6c Solving -15 + 8c = 9 + 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. -15 + 8c + -6c = 9 + 6c + -6c Combine like terms: 8c + -6c = 2c -15 + 2c = 9 + 6c + -6c Combine like terms: 6c + -6c = 0 -15 + 2c = 9 + 0 -15 + 2c = 9 Add '15' to each side of the equation. -15 + 15 + 2c = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 9 + 15 2c = 9 + 15 Combine like terms: 9 + 15 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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