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Simplifying 10c + 16 = (-14c) + -8 Reorder the terms: 16 + 10c = (-14c) + -8 Reorder the terms: 16 + 10c = -8 + (-14c) Solving 16 + 10c = -8 + (-14c) Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '(14c)' to each side of the equation. 16 + 10c + (14c) = -8 + (-14c) + (14c) Combine like terms: 10c + (14c) = 24c 16 + 24c = -8 + (-14c) + (14c) Combine like terms: (-14c) + (14c) = 0 16 + 24c = -8 + 0 16 + 24c = -8 Add '-16' to each side of the equation. 16 + -16 + 24c = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 24c = -8 + -16 24c = -8 + -16 Combine like terms: -8 + -16 = -24 24c = -24 Divide each side by '24'. c = -1 Simplifying c = -1
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