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Simplifying 16 + 3c = 8c + -1(-6) Multiply -1 * -6 16 + 3c = 8c + 6 Reorder the terms: 16 + 3c = 6 + 8c Solving 16 + 3c = 6 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 16 + 3c + -8c = 6 + 8c + -8c Combine like terms: 3c + -8c = -5c 16 + -5c = 6 + 8c + -8c Combine like terms: 8c + -8c = 0 16 + -5c = 6 + 0 16 + -5c = 6 Add '-16' to each side of the equation. 16 + -16 + -5c = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -5c = 6 + -16 -5c = 6 + -16 Combine like terms: 6 + -16 = -10 -5c = -10 Divide each side by '-5'. c = 2 Simplifying c = 2
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