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Simplifying 3(4c + -1) + -5 = 10c + 6 Reorder the terms: 3(-1 + 4c) + -5 = 10c + 6 (-1 * 3 + 4c * 3) + -5 = 10c + 6 (-3 + 12c) + -5 = 10c + 6 Reorder the terms: -3 + -5 + 12c = 10c + 6 Combine like terms: -3 + -5 = -8 -8 + 12c = 10c + 6 Reorder the terms: -8 + 12c = 6 + 10c Solving -8 + 12c = 6 + 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. -8 + 12c + -10c = 6 + 10c + -10c Combine like terms: 12c + -10c = 2c -8 + 2c = 6 + 10c + -10c Combine like terms: 10c + -10c = 0 -8 + 2c = 6 + 0 -8 + 2c = 6 Add '8' to each side of the equation. -8 + 8 + 2c = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 6 + 8 2c = 6 + 8 Combine like terms: 6 + 8 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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