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Simplifying 7(c + 6) + -12 = 5(c + -6) + -12c Reorder the terms: 7(6 + c) + -12 = 5(c + -6) + -12c (6 * 7 + c * 7) + -12 = 5(c + -6) + -12c (42 + 7c) + -12 = 5(c + -6) + -12c Reorder the terms: 42 + -12 + 7c = 5(c + -6) + -12c Combine like terms: 42 + -12 = 30 30 + 7c = 5(c + -6) + -12c Reorder the terms: 30 + 7c = 5(-6 + c) + -12c 30 + 7c = (-6 * 5 + c * 5) + -12c 30 + 7c = (-30 + 5c) + -12c Combine like terms: 5c + -12c = -7c 30 + 7c = -30 + -7c Solving 30 + 7c = -30 + -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. 30 + 7c + 7c = -30 + -7c + 7c Combine like terms: 7c + 7c = 14c 30 + 14c = -30 + -7c + 7c Combine like terms: -7c + 7c = 0 30 + 14c = -30 + 0 30 + 14c = -30 Add '-30' to each side of the equation. 30 + -30 + 14c = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 14c = -30 + -30 14c = -30 + -30 Combine like terms: -30 + -30 = -60 14c = -60 Divide each side by '14'. c = -4.285714286 Simplifying c = -4.285714286
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