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Simplifying 16(4c + -1) + -8 = 62c + 16 Reorder the terms: 16(-1 + 4c) + -8 = 62c + 16 (-1 * 16 + 4c * 16) + -8 = 62c + 16 (-16 + 64c) + -8 = 62c + 16 Reorder the terms: -16 + -8 + 64c = 62c + 16 Combine like terms: -16 + -8 = -24 -24 + 64c = 62c + 16 Reorder the terms: -24 + 64c = 16 + 62c Solving -24 + 64c = 16 + 62c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-62c' to each side of the equation. -24 + 64c + -62c = 16 + 62c + -62c Combine like terms: 64c + -62c = 2c -24 + 2c = 16 + 62c + -62c Combine like terms: 62c + -62c = 0 -24 + 2c = 16 + 0 -24 + 2c = 16 Add '24' to each side of the equation. -24 + 24 + 2c = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 2c = 16 + 24 2c = 16 + 24 Combine like terms: 16 + 24 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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