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Simplifying 7(5 + c) = 6(c + -2) (5 * 7 + c * 7) = 6(c + -2) (35 + 7c) = 6(c + -2) Reorder the terms: 35 + 7c = 6(-2 + c) 35 + 7c = (-2 * 6 + c * 6) 35 + 7c = (-12 + 6c) Solving 35 + 7c = -12 + 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. 35 + 7c + -6c = -12 + 6c + -6c Combine like terms: 7c + -6c = 1c 35 + 1c = -12 + 6c + -6c Combine like terms: 6c + -6c = 0 35 + 1c = -12 + 0 35 + 1c = -12 Add '-35' to each side of the equation. 35 + -35 + 1c = -12 + -35 Combine like terms: 35 + -35 = 0 0 + 1c = -12 + -35 1c = -12 + -35 Combine like terms: -12 + -35 = -47 1c = -47 Divide each side by '1'. c = -47 Simplifying c = -47
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