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Simplifying 3(2c + -1) + -4 = 2c + 1 Reorder the terms: 3(-1 + 2c) + -4 = 2c + 1 (-1 * 3 + 2c * 3) + -4 = 2c + 1 (-3 + 6c) + -4 = 2c + 1 Reorder the terms: -3 + -4 + 6c = 2c + 1 Combine like terms: -3 + -4 = -7 -7 + 6c = 2c + 1 Reorder the terms: -7 + 6c = 1 + 2c Solving -7 + 6c = 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. -7 + 6c + -2c = 1 + 2c + -2c Combine like terms: 6c + -2c = 4c -7 + 4c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 -7 + 4c = 1 + 0 -7 + 4c = 1 Add '7' to each side of the equation. -7 + 7 + 4c = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 1 + 7 4c = 1 + 7 Combine like terms: 1 + 7 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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