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