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Simplifying 16(4c + -1) + -10 = 62c + 16 Reorder the terms: 16(-1 + 4c) + -10 = 62c + 16 (-1 * 16 + 4c * 16) + -10 = 62c + 16 (-16 + 64c) + -10 = 62c + 16 Reorder the terms: -16 + -10 + 64c = 62c + 16 Combine like terms: -16 + -10 = -26 -26 + 64c = 62c + 16 Reorder the terms: -26 + 64c = 16 + 62c Solving -26 + 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. -26 + 64c + -62c = 16 + 62c + -62c Combine like terms: 64c + -62c = 2c -26 + 2c = 16 + 62c + -62c Combine like terms: 62c + -62c = 0 -26 + 2c = 16 + 0 -26 + 2c = 16 Add '26' to each side of the equation. -26 + 26 + 2c = 16 + 26 Combine like terms: -26 + 26 = 0 0 + 2c = 16 + 26 2c = 16 + 26 Combine like terms: 16 + 26 = 42 2c = 42 Divide each side by '2'. c = 21 Simplifying c = 21
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