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Simplifying 3(4c + -2) + -1 = 10c + 5 Reorder the terms: 3(-2 + 4c) + -1 = 10c + 5 (-2 * 3 + 4c * 3) + -1 = 10c + 5 (-6 + 12c) + -1 = 10c + 5 Reorder the terms: -6 + -1 + 12c = 10c + 5 Combine like terms: -6 + -1 = -7 -7 + 12c = 10c + 5 Reorder the terms: -7 + 12c = 5 + 10c Solving -7 + 12c = 5 + 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. -7 + 12c + -10c = 5 + 10c + -10c Combine like terms: 12c + -10c = 2c -7 + 2c = 5 + 10c + -10c Combine like terms: 10c + -10c = 0 -7 + 2c = 5 + 0 -7 + 2c = 5 Add '7' to each side of the equation. -7 + 7 + 2c = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 5 + 7 2c = 5 + 7 Combine like terms: 5 + 7 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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