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Simplifying 8(4c + -1) + -4 = 30c + 8 Reorder the terms: 8(-1 + 4c) + -4 = 30c + 8 (-1 * 8 + 4c * 8) + -4 = 30c + 8 (-8 + 32c) + -4 = 30c + 8 Reorder the terms: -8 + -4 + 32c = 30c + 8 Combine like terms: -8 + -4 = -12 -12 + 32c = 30c + 8 Reorder the terms: -12 + 32c = 8 + 30c Solving -12 + 32c = 8 + 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. -12 + 32c + -30c = 8 + 30c + -30c Combine like terms: 32c + -30c = 2c -12 + 2c = 8 + 30c + -30c Combine like terms: 30c + -30c = 0 -12 + 2c = 8 + 0 -12 + 2c = 8 Add '12' to each side of the equation. -12 + 12 + 2c = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2c = 8 + 12 2c = 8 + 12 Combine like terms: 8 + 12 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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