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Simplifying 49 = -7(c + 1) Reorder the terms: 49 = -7(1 + c) 49 = (1 * -7 + c * -7) 49 = (-7 + -7c) Solving 49 = -7 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 49 + 7c = -7 + -7c + 7c Combine like terms: -7c + 7c = 0 49 + 7c = -7 + 0 49 + 7c = -7 Add '-49' to each side of the equation. 49 + -49 + 7c = -7 + -49 Combine like terms: 49 + -49 = 0 0 + 7c = -7 + -49 7c = -7 + -49 Combine like terms: -7 + -49 = -56 7c = -56 Divide each side by '7'. c = -8 Simplifying c = -8
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