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Simplifying 7(c + -7) = 6(3 + c) Reorder the terms: 7(-7 + c) = 6(3 + c) (-7 * 7 + c * 7) = 6(3 + c) (-49 + 7c) = 6(3 + c) -49 + 7c = (3 * 6 + c * 6) -49 + 7c = (18 + 6c) Solving -49 + 7c = 18 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -49 + 7c + -6c = 18 + 6c + -6c Combine like terms: 7c + -6c = 1c -49 + 1c = 18 + 6c + -6c Combine like terms: 6c + -6c = 0 -49 + 1c = 18 + 0 -49 + 1c = 18 Add '49' to each side of the equation. -49 + 49 + 1c = 18 + 49 Combine like terms: -49 + 49 = 0 0 + 1c = 18 + 49 1c = 18 + 49 Combine like terms: 18 + 49 = 67 1c = 67 Divide each side by '1'. c = 67 Simplifying c = 67
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