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Simplifying -4c + -9 = -1 + -7c + 7 Reorder the terms: -9 + -4c = -1 + -7c + 7 Reorder the terms: -9 + -4c = -1 + 7 + -7c Combine like terms: -1 + 7 = 6 -9 + -4c = 6 + -7c Solving -9 + -4c = 6 + -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. -9 + -4c + 7c = 6 + -7c + 7c Combine like terms: -4c + 7c = 3c -9 + 3c = 6 + -7c + 7c Combine like terms: -7c + 7c = 0 -9 + 3c = 6 + 0 -9 + 3c = 6 Add '9' to each side of the equation. -9 + 9 + 3c = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3c = 6 + 9 3c = 6 + 9 Combine like terms: 6 + 9 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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