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Simplifying c(3 + -7) + -9 + 7c = 14 + 1 Combine like terms: 3 + -7 = -4 c(-4) + -9 + 7c = 14 + 1 Reorder the terms for easier multiplication: -4c + -9 + 7c = 14 + 1 Reorder the terms: -9 + -4c + 7c = 14 + 1 Combine like terms: -4c + 7c = 3c -9 + 3c = 14 + 1 Combine like terms: 14 + 1 = 15 -9 + 3c = 15 Solving -9 + 3c = 15 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3c = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3c = 15 + 9 3c = 15 + 9 Combine like terms: 15 + 9 = 24 3c = 24 Divide each side by '3'. c = 8 Simplifying c = 8
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