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Simplifying 8c + 21 = 7c + -16 Reorder the terms: 21 + 8c = 7c + -16 Reorder the terms: 21 + 8c = -16 + 7c Solving 21 + 8c = -16 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 21 + 8c + -7c = -16 + 7c + -7c Combine like terms: 8c + -7c = 1c 21 + 1c = -16 + 7c + -7c Combine like terms: 7c + -7c = 0 21 + 1c = -16 + 0 21 + 1c = -16 Add '-21' to each side of the equation. 21 + -21 + 1c = -16 + -21 Combine like terms: 21 + -21 = 0 0 + 1c = -16 + -21 1c = -16 + -21 Combine like terms: -16 + -21 = -37 1c = -37 Divide each side by '1'. c = -37 Simplifying c = -37
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