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Simplifying 3(2c + -1) + -2 = 2c + 7 Reorder the terms: 3(-1 + 2c) + -2 = 2c + 7 (-1 * 3 + 2c * 3) + -2 = 2c + 7 (-3 + 6c) + -2 = 2c + 7 Reorder the terms: -3 + -2 + 6c = 2c + 7 Combine like terms: -3 + -2 = -5 -5 + 6c = 2c + 7 Reorder the terms: -5 + 6c = 7 + 2c Solving -5 + 6c = 7 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -5 + 6c + -2c = 7 + 2c + -2c Combine like terms: 6c + -2c = 4c -5 + 4c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 -5 + 4c = 7 + 0 -5 + 4c = 7 Add '5' to each side of the equation. -5 + 5 + 4c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4c = 7 + 5 4c = 7 + 5 Combine like terms: 7 + 5 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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