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