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Simplifying 5(6 + -4c) = c + 21 (6 * 5 + -4c * 5) = c + 21 (30 + -20c) = c + 21 Reorder the terms: 30 + -20c = 21 + c Solving 30 + -20c = 21 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 30 + -20c + -1c = 21 + c + -1c Combine like terms: -20c + -1c = -21c 30 + -21c = 21 + c + -1c Combine like terms: c + -1c = 0 30 + -21c = 21 + 0 30 + -21c = 21 Add '-30' to each side of the equation. 30 + -30 + -21c = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -21c = 21 + -30 -21c = 21 + -30 Combine like terms: 21 + -30 = -9 -21c = -9 Divide each side by '-21'. c = 0.4285714286 Simplifying c = 0.4285714286
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