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Simplifying 16(4c + -1) + -16 = 62c + 16 Reorder the terms: 16(-1 + 4c) + -16 = 62c + 16 (-1 * 16 + 4c * 16) + -16 = 62c + 16 (-16 + 64c) + -16 = 62c + 16 Reorder the terms: -16 + -16 + 64c = 62c + 16 Combine like terms: -16 + -16 = -32 -32 + 64c = 62c + 16 Reorder the terms: -32 + 64c = 16 + 62c Solving -32 + 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. -32 + 64c + -62c = 16 + 62c + -62c Combine like terms: 64c + -62c = 2c -32 + 2c = 16 + 62c + -62c Combine like terms: 62c + -62c = 0 -32 + 2c = 16 + 0 -32 + 2c = 16 Add '32' to each side of the equation. -32 + 32 + 2c = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 2c = 16 + 32 2c = 16 + 32 Combine like terms: 16 + 32 = 48 2c = 48 Divide each side by '2'. c = 24 Simplifying c = 24
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