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Simplifying 3(4c + -1) + -2 = 10c + 7 Reorder the terms: 3(-1 + 4c) + -2 = 10c + 7 (-1 * 3 + 4c * 3) + -2 = 10c + 7 (-3 + 12c) + -2 = 10c + 7 Reorder the terms: -3 + -2 + 12c = 10c + 7 Combine like terms: -3 + -2 = -5 -5 + 12c = 10c + 7 Reorder the terms: -5 + 12c = 7 + 10c Solving -5 + 12c = 7 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -5 + 12c + -10c = 7 + 10c + -10c Combine like terms: 12c + -10c = 2c -5 + 2c = 7 + 10c + -10c Combine like terms: 10c + -10c = 0 -5 + 2c = 7 + 0 -5 + 2c = 7 Add '5' to each side of the equation. -5 + 5 + 2c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 7 + 5 2c = 7 + 5 Combine like terms: 7 + 5 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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