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Simplifying 21 = 7 + 6(c + -5) Reorder the terms: 21 = 7 + 6(-5 + c) 21 = 7 + (-5 * 6 + c * 6) 21 = 7 + (-30 + 6c) Combine like terms: 7 + -30 = -23 21 = -23 + 6c Solving 21 = -23 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 21 + -6c = -23 + 6c + -6c Combine like terms: 6c + -6c = 0 21 + -6c = -23 + 0 21 + -6c = -23 Add '-21' to each side of the equation. 21 + -21 + -6c = -23 + -21 Combine like terms: 21 + -21 = 0 0 + -6c = -23 + -21 -6c = -23 + -21 Combine like terms: -23 + -21 = -44 -6c = -44 Divide each side by '-6'. c = 7.333333333 Simplifying c = 7.333333333
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