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Simplifying 5(c + 9) = -1(21 + c) Reorder the terms: 5(9 + c) = -1(21 + c) (9 * 5 + c * 5) = -1(21 + c) (45 + 5c) = -1(21 + c) 45 + 5c = (21 * -1 + c * -1) 45 + 5c = (-21 + -1c) Solving 45 + 5c = -21 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 45 + 5c + c = -21 + -1c + c Combine like terms: 5c + c = 6c 45 + 6c = -21 + -1c + c Combine like terms: -1c + c = 0 45 + 6c = -21 + 0 45 + 6c = -21 Add '-45' to each side of the equation. 45 + -45 + 6c = -21 + -45 Combine like terms: 45 + -45 = 0 0 + 6c = -21 + -45 6c = -21 + -45 Combine like terms: -21 + -45 = -66 6c = -66 Divide each side by '6'. c = -11 Simplifying c = -11
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