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Simplifying 7(c + -5) = 42 Reorder the terms: 7(-5 + c) = 42 (-5 * 7 + c * 7) = 42 (-35 + 7c) = 42 Solving -35 + 7c = 42 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 7c = 42 + 35 Combine like terms: -35 + 35 = 0 0 + 7c = 42 + 35 7c = 42 + 35 Combine like terms: 42 + 35 = 77 7c = 77 Divide each side by '7'. c = 11 Simplifying c = 11
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