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Simplifying 49 = -7(c + -5) Reorder the terms: 49 = -7(-5 + c) 49 = (-5 * -7 + c * -7) 49 = (35 + -7c) Solving 49 = 35 + -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 = 35 + -7c + 7c Combine like terms: -7c + 7c = 0 49 + 7c = 35 + 0 49 + 7c = 35 Add '-49' to each side of the equation. 49 + -49 + 7c = 35 + -49 Combine like terms: 49 + -49 = 0 0 + 7c = 35 + -49 7c = 35 + -49 Combine like terms: 35 + -49 = -14 7c = -14 Divide each side by '7'. c = -2 Simplifying c = -2
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