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