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Simplifying 4(2c + -3) + -5 = 2c + 1 Reorder the terms: 4(-3 + 2c) + -5 = 2c + 1 (-3 * 4 + 2c * 4) + -5 = 2c + 1 (-12 + 8c) + -5 = 2c + 1 Reorder the terms: -12 + -5 + 8c = 2c + 1 Combine like terms: -12 + -5 = -17 -17 + 8c = 2c + 1 Reorder the terms: -17 + 8c = 1 + 2c Solving -17 + 8c = 1 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -17 + 8c + -2c = 1 + 2c + -2c Combine like terms: 8c + -2c = 6c -17 + 6c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 -17 + 6c = 1 + 0 -17 + 6c = 1 Add '17' to each side of the equation. -17 + 17 + 6c = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 6c = 1 + 17 6c = 1 + 17 Combine like terms: 1 + 17 = 18 6c = 18 Divide each side by '6'. c = 3 Simplifying c = 3
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