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Simplifying 4(3c + -2) + -5c = 27 Reorder the terms: 4(-2 + 3c) + -5c = 27 (-2 * 4 + 3c * 4) + -5c = 27 (-8 + 12c) + -5c = 27 Combine like terms: 12c + -5c = 7c -8 + 7c = 27 Solving -8 + 7c = 27 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7c = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 7c = 27 + 8 7c = 27 + 8 Combine like terms: 27 + 8 = 35 7c = 35 Divide each side by '7'. c = 5 Simplifying c = 5
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