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Simplifying 4(2c + -1) + -5 = 6c + 7 Reorder the terms: 4(-1 + 2c) + -5 = 6c + 7 (-1 * 4 + 2c * 4) + -5 = 6c + 7 (-4 + 8c) + -5 = 6c + 7 Reorder the terms: -4 + -5 + 8c = 6c + 7 Combine like terms: -4 + -5 = -9 -9 + 8c = 6c + 7 Reorder the terms: -9 + 8c = 7 + 6c Solving -9 + 8c = 7 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -9 + 8c + -6c = 7 + 6c + -6c Combine like terms: 8c + -6c = 2c -9 + 2c = 7 + 6c + -6c Combine like terms: 6c + -6c = 0 -9 + 2c = 7 + 0 -9 + 2c = 7 Add '9' to each side of the equation. -9 + 9 + 2c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 7 + 9 2c = 7 + 9 Combine like terms: 7 + 9 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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