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Simplifying 2(3c + -2) + -5 = 4c + 7 Reorder the terms: 2(-2 + 3c) + -5 = 4c + 7 (-2 * 2 + 3c * 2) + -5 = 4c + 7 (-4 + 6c) + -5 = 4c + 7 Reorder the terms: -4 + -5 + 6c = 4c + 7 Combine like terms: -4 + -5 = -9 -9 + 6c = 4c + 7 Reorder the terms: -9 + 6c = 7 + 4c Solving -9 + 6c = 7 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -9 + 6c + -4c = 7 + 4c + -4c Combine like terms: 6c + -4c = 2c -9 + 2c = 7 + 4c + -4c Combine like terms: 4c + -4c = 0 -9 + 2c = 7 + 0 -9 + 2c = 7 Add '9' to each side of the equation. -9 + 9 + 2c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 7 + 9 2c = 7 + 9 Combine like terms: 7 + 9 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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