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Simplifying 16(6c + -1) + -4 = 84c + 16 Reorder the terms: 16(-1 + 6c) + -4 = 84c + 16 (-1 * 16 + 6c * 16) + -4 = 84c + 16 (-16 + 96c) + -4 = 84c + 16 Reorder the terms: -16 + -4 + 96c = 84c + 16 Combine like terms: -16 + -4 = -20 -20 + 96c = 84c + 16 Reorder the terms: -20 + 96c = 16 + 84c Solving -20 + 96c = 16 + 84c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-84c' to each side of the equation. -20 + 96c + -84c = 16 + 84c + -84c Combine like terms: 96c + -84c = 12c -20 + 12c = 16 + 84c + -84c Combine like terms: 84c + -84c = 0 -20 + 12c = 16 + 0 -20 + 12c = 16 Add '20' to each side of the equation. -20 + 20 + 12c = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 12c = 16 + 20 12c = 16 + 20 Combine like terms: 16 + 20 = 36 12c = 36 Divide each side by '12'. c = 3 Simplifying c = 3
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