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Simplifying 4(3c + -1) + -1 = 10c + 9 Reorder the terms: 4(-1 + 3c) + -1 = 10c + 9 (-1 * 4 + 3c * 4) + -1 = 10c + 9 (-4 + 12c) + -1 = 10c + 9 Reorder the terms: -4 + -1 + 12c = 10c + 9 Combine like terms: -4 + -1 = -5 -5 + 12c = 10c + 9 Reorder the terms: -5 + 12c = 9 + 10c Solving -5 + 12c = 9 + 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 = 9 + 10c + -10c Combine like terms: 12c + -10c = 2c -5 + 2c = 9 + 10c + -10c Combine like terms: 10c + -10c = 0 -5 + 2c = 9 + 0 -5 + 2c = 9 Add '5' to each side of the equation. -5 + 5 + 2c = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 9 + 5 2c = 9 + 5 Combine like terms: 9 + 5 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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