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Simplifying 4(2c + -1) + -5 = 5c + 9 Reorder the terms: 4(-1 + 2c) + -5 = 5c + 9 (-1 * 4 + 2c * 4) + -5 = 5c + 9 (-4 + 8c) + -5 = 5c + 9 Reorder the terms: -4 + -5 + 8c = 5c + 9 Combine like terms: -4 + -5 = -9 -9 + 8c = 5c + 9 Reorder the terms: -9 + 8c = 9 + 5c Solving -9 + 8c = 9 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -9 + 8c + -5c = 9 + 5c + -5c Combine like terms: 8c + -5c = 3c -9 + 3c = 9 + 5c + -5c Combine like terms: 5c + -5c = 0 -9 + 3c = 9 + 0 -9 + 3c = 9 Add '9' to each side of the equation. -9 + 9 + 3c = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 3c = 9 + 9 3c = 9 + 9 Combine like terms: 9 + 9 = 18 3c = 18 Divide each side by '3'. c = 6 Simplifying c = 6
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