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Simplifying -7(c + -3) = 30 + -5c + 11 Reorder the terms: -7(-3 + c) = 30 + -5c + 11 (-3 * -7 + c * -7) = 30 + -5c + 11 (21 + -7c) = 30 + -5c + 11 Reorder the terms: 21 + -7c = 30 + 11 + -5c Combine like terms: 30 + 11 = 41 21 + -7c = 41 + -5c Solving 21 + -7c = 41 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 21 + -7c + 5c = 41 + -5c + 5c Combine like terms: -7c + 5c = -2c 21 + -2c = 41 + -5c + 5c Combine like terms: -5c + 5c = 0 21 + -2c = 41 + 0 21 + -2c = 41 Add '-21' to each side of the equation. 21 + -21 + -2c = 41 + -21 Combine like terms: 21 + -21 = 0 0 + -2c = 41 + -21 -2c = 41 + -21 Combine like terms: 41 + -21 = 20 -2c = 20 Divide each side by '-2'. c = -10 Simplifying c = -10
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