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Simplifying 2(4c + -4) + -7 = 6c + 3 Reorder the terms: 2(-4 + 4c) + -7 = 6c + 3 (-4 * 2 + 4c * 2) + -7 = 6c + 3 (-8 + 8c) + -7 = 6c + 3 Reorder the terms: -8 + -7 + 8c = 6c + 3 Combine like terms: -8 + -7 = -15 -15 + 8c = 6c + 3 Reorder the terms: -15 + 8c = 3 + 6c Solving -15 + 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. -15 + 8c + -6c = 3 + 6c + -6c Combine like terms: 8c + -6c = 2c -15 + 2c = 3 + 6c + -6c Combine like terms: 6c + -6c = 0 -15 + 2c = 3 + 0 -15 + 2c = 3 Add '15' to each side of the equation. -15 + 15 + 2c = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 3 + 15 2c = 3 + 15 Combine like terms: 3 + 15 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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